Manipal Entrance Test 2020 Math Paper

A particular thing is received by a man with probability, p=‌

a

a+b

and by a woman with probability, q=‌

b

a+b

.
Now, this experiment is repeated m times. Since. probability in each trial remains same for the men or women. Thus, we can apply binomial distribution.
Since, men should get odd number of things, so the random variable x would have x=1,3,5,...
∴ Required probability
=‌

(a+b)m−(b−a)m

2(a+b)m