HSC Arts 12th Board ExamMaharashtra State Board
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The probability that a certain kind of component will survive a check test is 0.5. Find the probability that exactly two of the next four components tested will survive. - HSC Arts 12th Board Exam - Mathematics and Statistics

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Question

The probability that a certain kind of component will survive a check test is 0.5. Find the probability that exactly two of the next four components tested will survive.

Solution

X be the number of components survive a check test.

p=0.5, q=0.5, n=4

P(x = 2) = 4C2(0.5)2(0.5)2

=6(0.25)(0.25)

=0.375

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APPEARS IN

 2013-2014 (October) (with solutions)
Question 4.2.4 | 2.00 marks
Solution The probability that a certain kind of component will survive a check test is 0.5. Find the probability that exactly two of the next four components tested will survive. Concept: Conditional Probability.
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