wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A dice is thrown 5 times then the probability that an even number will come up exactly 3 times is


A

516

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

12

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

316

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

32

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

516


An explanation for the correct option:

Step 1: Find the probability of success and failure.

We have been given a dice is thrown 5 times.

We need to find the probability that an even number will come up exactly 3 times.

the probability of getting an even number (p)=36

the probability of getting an odd number (q)=36

Step 2: Using the formula of Binomial distribution, find the required probability.

the probability that an even number will come up exactly 3 times is:

here, n=5,x=3,p=12,q=12

P=C35×(12)3×(12)5-3P=5!3!(5-3)!×(18)×(12)2P=516

Therefore, option (A) is the correct answer.


flag
Suggest Corrections
thumbs-up
9
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Binomial Distribution
ENGINEERING MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon