EASY
Earn 100
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/coin.webp)
A coin is tossed and then a die is thrown. Describe the sample space for this experiment.
Important Questions on Statistics and Probability
EASY
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
HARD
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
MEDIUM
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
HARD
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
HARD
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
MEDIUM
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
HARD
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
HARD
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
HARD
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
HARD
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
HARD
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
EASY
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
HARD
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
MEDIUM
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
MEDIUM
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
HARD
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
HARD
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
(i) The selection of four red marbles
(ii) The selection of one white and three red marbles
(iii) The selection of one white, one blue and two red marbles
(iv) The selection of one marble of each colour
The smallest total number of marbles satisfying the given condition is
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
EASY
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
HARD
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
If identical balls are to be placed in identical boxes, then the probability that one of the boxes contains exactly balls is
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
EASY
Mathematics>Statistics and Probability>Statistics and Probability>Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language, identify the outcomes in the sample space which compose the event.
c. Design and use a simulation to generate frequencies for compound events.
![](https://assets-cf.embibe.com/production/web-assets/assets/seo/forward.webp)
![](https://sss.embibe.com/content-utilities/preprod/c7fcda9c-aa79-4a0f-91fb-14de3ab495b1.webp)