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Question

A die is tossed thrice.

Find the probability of getting an odd number at least once.


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Solution

We have,

Number of possible outcomes on a die={1,2,3,4,5,6}

Favourable results getting even number=(2,4,6)=3

Step 1: Calculate the probability of even number once

Probabilityofgettinganevennumber=NumberoffavourableoutcomesTotalnumberofoutcomes=36Dividingnumeratoranddenominatorby3=12

Probability of getting even number once =12

Step 2: Calculate the probability of even number thrice

Probabilityofgettingevennumberthrice=12×12×12=18

Step 3: Calculate the probability of getting at least one odd number

Therefore, probability of getting at least one odd number=1-18

=78

Hence, probability of getting an odd number at least once is 78


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