A player tosses 3 fair coins. He wins Rs.500 if 3 heads occur, Rs.300 if 2 heads occur, Rs.100 if one head occurs. On the other hand, he loses Rs.1500 if 3 tails occur. Find the expected of the game for the player. Is it favourable to him?
Answers
Answered by
23
Answer:
it is favorable to him
Step-by-step explanation:
HHH , HHT , HTH , HTT , THH , THT , TTH , TTT
total 8
1 Head = HTT , THT , TTH = 3
2 head = HHT , HTH , THH = 3
3 Head = HHH = 1
3 Tail = TTT = 1
Probability of 1 Head = 3/8
Probability of 2 Head = 3/8
Probability of 3 Head = 1/8
Chance of Winning Amount = (3/8) * 100 + (3/8)*300 + (1/8)*500
= (300 + 900 + 500)/8
= 1700/8
Probability of 3 Tails = 1/8
Chance of losing amount = 1500/8
1700/8 > 1500/8
it is favorable to him
Answered by
0
Answer:
25
Step-by-step explanation:
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