Question

Six dice are rolled calling 6 a success: find the probability of getting ; (a) 3 successes (b) at most 3 successes

Answer 1

Hello Sir/ Mam

Six dice are rolled.

Falling of a die as a 6 is called success.

Hence,

it is a case of binomial distribution where:

p = 1/6

n = 6

Now, we know that:

Hence, using this formula,

p	16.67%
n	6
x
x	P(x)
0	0.33490
1	0.40188
2	0.20094
3	0.05358
4	0.00804
5	0.00064
6	0.00002

(a)

P(3 success) = 0.0536

(b)

P(at most 3 success) = 0.9913

I hope this solves your doubt.

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