Probability

Direction: A bag contains $4$ red, $5$ brown and $6$ white balls. Three balls are drawn randomly:

What is the probability that balls drawn contains exactly two red balls?

Direction: A bag contains $4$ red, $5$ brown and $6$ white balls. Three balls are drawn randomly:

What is the probability that the balls drawn are not of the same colour?

There are $6$ pens and $4$ pencils in a bag. If any four items are chosen at random, then what is the probability that they must have atlest one pencil?

Card numbers from $1, 3, 5, 7, 9..... 33$ are put in a bag. A card is drawn from it at random. Find the probability that the number on the card is not divisible by $3$ or divisible by $2$?

The chance that Om can solve a certain problem is $\frac{1}{4}$, the chance that Jay can solve it is $\frac{2}{3}$.Find the probability that the problem is solved if they both try:

What is the probability of getting $5$ heads when you toss a coin $10$ times?

If a six-sided dice is rolled $10$ times, then find the binomial Probability of rolling a $2$ on $3$ trials and others on the remaining trials,

Six coins are tossed simultaneously. The probability that at least one head turning up, is:

In a box containing $100$ bulbs, $10$ are defective, $10$ bulbs are chosen randomly from this box. The probability that exactly $4$ of the chosen bulbs are defective :

A fair coin is tossed a fixed number of times. If the probability of getting six heads is equal to that of getting of eight heads, then what is the total number of tosses? 

On a bookshelf there are $40\%$ fictional and the rest are non fictional books. If $25\%$ of the fictional books have red cover and $10\%$ of the non fictional books have red cover, find the probability that a red cover book selected at random is not a fictional book :

Find the probability that the marble is neither red nor white when a random marble is drawn from a bag containing $7$ red, $5$ blue, $4$ white and $4$ black marbles :

A bag contains $12$balls (red and blue). Two balls are drawn randomly from the bag and the probability of one ball being red and one ball being blue is $\frac{35}{66}$. If ‘n’ blue balls are added to the bag and then two balls are taken out randomly, then the minimum probability of remaining blue balls in the bag is $\frac{9}{14}$. Find the value of ‘n’, provided that blue balls are more than the red balls in the bag initially.

Two friends Raghav and Punit appeared in an IBPS PO examination. The probability if Raghav clearing the exam is $\frac{2}{5}$ And the probability of Punit clearing the exam is $\frac{5}{8}$. What is the probability that only of them clear the exam?

In a class $40\%$Of the students passed in math, $50\%$ Of the students passed in science and $30\%$ Of the students passed in both the subject. If a student is selected at random, what is the probability that he was passed in math or science?

A shopkeeper has $5$Red and $3$ Brown colour purse. Riya purchased $5$Purses out of $8$ Different colour purse.What is the probability that riya will purchase more number of red colour purse than the brown colour purse.
 

In a company there are 54 employees, in which some of males and some of females. If a employee select at random for the post of MD, then probability of being that employee is a female is 1/6 . Find how many male employees in company ?

A car manufacturing company produces four different types of cars, A, B, C and D. The chances that a random car A, B, C and D is found to be defective are $20\%, 30\%, 5\% and 10\%$, respectively. 

From the given statement which of the following can be determined ?

1. Probability of only A, B and C are defective.

2. Probability of only A, B and D are defective.

3. Probability of only A, C and D are defective.

4. Probability of only B, C and D are defective.

A box contains $5$ red, $8$ blue, and $6$ green balls. Three balls are drawn one after another without replacement. What is the probability of getting balls of three different colors?

A bag has $9$ balls, each of them is either sky blue, orange or Brown. In every trial, one ball is drawn and put back in the bag before the next trial. The probability of getting a sky blue ball in two consecutive trials is $\frac{1}{81}$. The probability of getting two orange balls in two consecutive trials is $\frac{4}{9}$.

A. The number of Brown balls in total Balls.

B.  Probability of getting balls of three different colors in three consecutive trails.

C. The number of sky balls in total Balls.

D. The number of Orange balls in total Balls.