In a blindfolded game, a boy can hit the target 8 times out of 12. If he fired 8 shots, find out the probability of more than 4 hits?(a) 2.530(b) 0.1369(c) 0.5938(d) 3.998This question was addressed to me by my school teacher while I was bunking the class.I want to ask this question from Counting topic in chapter Counting of Discrete Mathematics

In a blindfolded game, a boy can hit the target 8 times out of 12. If

1.	In a blindfolded game, a boy can hit the target 8 times out of 12. If he fired 8 shots, find out the probability of more than 4 hits?(a) 2.530(b) 0.1369(c) 0.5938(d) 3.998This question was addressed to me by my school teacher while I was bunking the class.I want to ask this question from Counting topic in chapter Counting of Discrete Mathematics
Answer» CORRECT option is (c) 0.5938 To explain I would say: Here, n = 8, p = 0.6, q = 0.4. Suppose X = number of HITS x0 = 0 number of hits, x1 = 1 hit, x2 = 2 hits, and so on. So, (X) = P(x5) + P(x6) + P(x7) + P(x8) = ^8C5(0.6)^5(0.4)^3 + ^8C5(0.6)^6(0.4)^2 + ^8C7(0.6)^7(0.4)^1 + ^8C8(0.6)^8(0.4)^0 = 0.5938.

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