Please answer the following: 1 A boy throws a coin He is to received two rupees for - Maths - Probability

Question

Please answer the following:

1 A boy throws a coin He is to received two rupees for getting a
tail and ten rupees for getting a head find the expectation ( Mean
receipt)

2 A game at a school fair cost Rs 10, With a prize of Rs 50 Of the
probability of winning is 1 10 , is it a fair game?

Aarushi Mishra · Accepted Answer

Let random variable X denote amount of prize wonX can take only two values, X=50 when the player wins and X=0 when player loosesPwinning=110=PX=50Plosing=1-Pwinning=910=PX=0Expectation=∑PXi Xi=110×50+910×0=5Average amount of cash won is Rs
 5 while that being invested is Rs
 10, therefore this is not a fair game
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Please answer the following: 1. A boy throws a coin. He is to received two rupees for getting a tail and ten rupees for getting a head . find the expectation ( Mean receipt). 2. A game at a school fair cost Rs. 10, With a prize of Rs. 50. Of the probability of winning is 1 10 , is it a fair game?