In your hostel every girl plays badminton atleast once a month. The probability of one playing badminton in 1st week is a, probability that if one doesn’t play in 1st week than she will play in 2nd week is b, probability the one doestnt play badi in 1st and 2nd and play in third week is c, and the probability that one plays in last week is obviously (1-a-b-c). What is the probability that you and your friend will play badminton in the same week is?

Question

Accepted Answer

Calculating the probability of two friends playing badminton in the same week given certain probabilities.

Calculate the probability of both playing in the first week (a*a)
Calculate the probability of both playing in the second week ((1-a)*b*(1-c))
Calculate the probability of both playing in the third week ((1-a)*(1-b)*c)
Calculate the probability of both playing in the last week ((1-a-b-c)*(1-a-b-c))
Add up all the probabilities to get the final answer

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