1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# For the given situation, find the probability of getting an even number when an unbiased die is rolled. Also, find the desirable outcome in this case.

A
P(E)=12
Desired outcome = Getting an odd number
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
P(E)=12
Desired outcome = Getting an even number
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is A P(E)=12 Desired outcome = Getting an odd numberWhen we roll a die, the sample space S obtained is: S={1,2,3,4,5,6} We are given with 2 cases: Case 1:––––––––– Getting an odd number when a die is rolled. The sample space S1 for this case: S1={1,3,5} Case 2:––––––––– Getting an even number when a die is rolled. The sample space S2 for this case: S2={2,4,6} Let P(E) denotes the probability of getting an even number when a die is rolled. P(E)=Number of favorable outcomesTotal number of outcomes In this case, Number of favorable outcomes =3, i.e., {2,4,6} Total number of outcomes =6, i.e., {1,2,3,4,5,6} P(E)=36 P(E)=12 The probability of getting an even number when an unbiased die is rolled is 12. The desirable outcome would be "getting an odd number" as this case signifies the "WIN" situation. Therefore, option (b.) is the correct answer.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Experiment, Trial, Outcome, Sample Space and Event
MATHEMATICS
Watch in App
Join BYJU'S Learning Program