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

A fair die is thrown three times and the three outcomes are multiplied. Let p be the probability that the outcome is divisible by 16. Then the value of 718p is

Open in App
Solution

Let the outcome on two throws of the die be (4,4)
Then number of possible combinations is 5×3!2!+1=16

If outcome on two throws of the die is (2,2) or (6,6),
then number of possible combinations is 2×3!2!=6

If outcome on three throws of the die is (2,4,6),
then number of possible combinations is 3!=6
p=28216=754

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Bayes Theorem
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon