NCERT Class XII Mathematics Chapter - - Solutions

Question : 55

Total: 101

Find the probability distribution of the number of successes in two tosses of a die, where a success is defined as six appears on at least one die.

Solution:

Let S be the sample space : S = {1, 2, 3, 4, 5, 6}
X denote the random variable which represents at least one die shows six.
∴ X can assume the values 0, 1, 2
P(X = 0) = P(six does not appears at any die) =

P(X = 1) = P(six appears on one die) =

P(X = 2) = P(six appears on both die) =

Hence, the probability distribution is :

P(X)

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