Two biased dice are thrown together. For the first die P (6) = 1/2. the other scores being equally likely while for the second die, P (1) = 2/5 and the other scores are equally likely. Find the probability distribution of ‘the number of ones seen’.

Question

Philoid · Accepted Answer

Given-

For first die, and

[∵ P(1)=P(2)=P(3)=P(4)=P(5)]

For second die

Let X= number of one’s seen

For X=0,

=0.04

Hence, the required probability distribution is as below