Name: Probability Tree
Uploaded: 2019-07-19
Duration: 16 min 58 s
Description: In this video, we will learn probability and find the probability of events and different experiments and also mutually exclusive events etc.

Question

Two dice are rolled simultaneously. Find the probability of getting:

An odd number on both dice

Accepted Answer

Since $2$ dice are being rolled together we need to consider all the possible outcomes first, which is as follows;

$(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6) (2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6) (3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6) (5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)$

Hence, the total number of possible outcomes is $36$

Now that we know the list of all the possible outcomes, we need to pick out the favourable outcomes (the outcomes in which an odd number on both dice).

So, the favourable outcomes are;

$(1, 1), (3, 3), (5, 5), (1, 3), (1, 5), (3, 1), (3, 5), (5, 1), (5, 3)$

Hence, number of favourable outcomes is $9$

The formula for probability is; $\frac{Number of favourable outcomes}{Total number of outcomes}$

$= \frac{9}{36}$ $= \frac{1}{4}$

Therefore, the probability is $\frac{1}{4}$ .

Two dice are rolled simultaneously. Find the probability of getting:
An odd number on both dice

Important Questions on Probability

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