Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

In a Simultaneous Throw of a Pair of Dice, Find the Probability of Getting:(Vi) an Even Number on First - Mathematics

In a simultaneous throw of a pair of dice, find the probability of getting  an even number on first

Solution

We know that in a single throw of two dices, the total number of possible outcomes is (6 × 6) = 36.
Let S be the sample space.
Then n(S) = 36

Let E6 = event of getting an even number on the first throw
Then E6 = {(2, 1) , (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (4, 1) , (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (6, 1) , (6, 2), (6, 3),
(6, 4), (6, 5), (6, 6) }
i.e. n (E6) = 18

$\therefore P\left( E_6 \right) = \frac{n\left( E_6 \right)}{n\left( S \right)} = \frac{18}{36} = \frac{1}{2}$

Concept: Probability - Probability of 'Not', 'And' and 'Or' Events
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Exercise 33.3 | Q 2.06 | Page 45