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An unbiased cubical dice is thrown 5 times and the number appearingon the uppermost face is noted. Then the probability that atmost twotimes an even number appears isA) 0.125B) 03125C) 0.25D) 0. 5 |
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Answer» Given : An UNBIASED cubical dice is thrown 5 times and the number appearing on the uppermost face is noted. To Find : the probability that atmost two times an even number appears is A) 0.125 B) 03125 C) 0.25 D) 0. 5 Solution: Dice has 6 numbers 1 to 6 3 even numbers and 3 odd numbers Probability of even number p = 3/6 = 1/2 Probability of not appearing even number q = 1 - p = 1 - 1/2 = 1/2 n = 5 dice thrown 5 times p(X) = ⁿCₓpˣqⁿ⁻ˣ atmost two times an even number appears x= 0 , 1 , 2 probability that atmost two times an even number appears is = P(0) + p(1) + P(2) = ⁵C₀(1/2)⁰(1/2)⁵ + ⁵C₁(1/2)¹(1/2)⁴ + ⁵C₂(1/2)²(1/2)³ = 1/32 + 5/32 + 10/32 = 16/32 = 1/2 = 0.5 probability that atmost two times an even number appears is 0.5 Learn More: Find the probability distribution of the numbers obtained in throwing ... A sample of four CHOCOLATE BARS are randomly selected from a box of ... there three urns. the first urn contains 3 green balls and 2 WHITE balls ... |
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