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प्रश्न
Five dice are thrown simultaneously. If the occurrence of an odd number in a single dice is considered a success, find the probability of maximum three successes.
उत्तर
Success = `p = 3/6 = 1/2`
Failure = `q = 1/2`
`P(x = r) = ""^nC_r p^r q^(n-r)`
Here n = 5, r = 0,1,2,3
`p =1/2 , q = 1/2`
Maximum three success = `P(0) + P(1) + P(2) + P(3)`
`= ""^5C_0 (1/2)^5 + ""^5C_1 (1/2)^5 + ""^5C_2(1/5)^5 + ""^5C_3 (1/2)^5`
`= (1/2)^5 [1 + 5 + 10 + 10]`
`= 26/32 = 13/16`
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