Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
Advertisement Remove all ads

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

Advertisement Remove all ads

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
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Exercise 33.3 | Q 2.06 | Page 45
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×