A person tosses an unbiased coin. When head turns up, he gets Rs.8 and tail turns up he loses Rs.4. If 3 coins are tossed, what is probability that he gets a profit of Rs.12?
-
1]
3/8
-
2]
5/8
-
3]
3/4
-
4]
1/8
Solution
Person will get profit of Rs 12 only when there is 2H (Head) and 1T (Tail)
H + H + T = 12
8 + 8 + (-4) = 12
Total outcome of 2 head and 1 tail = 23 = 8
i.e (T, H, TH, HT, HH, HHT, HTH, THH)
Total event with 2H and 1 T is 3
therfore probability = 3/8
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