Probability

Q1. A TV set contains five circuit boards of type A, five of type B and three of type C. The probability of failing in its first 5000 hours of use is 0.01 for a type A circuit board, 0.02 for a type B circuit board, and 0.025 for a type C circuit board. Assuming that the failures of the various circuit boards are independent of one another, compute the probability that no circuit board fails in the first 5000 hours of use.

Q2. A bag contains 14 yellow counters and 10 red counters. Two counters are taken out in succession and not replaced.
 What is the probability that two red counters are taken out?

Q3.A bag contains 4 white, 3 yellow, and 5 black marbles. Find the probability of picking 3 white marbles if each marble is returned to the bag before the next marble is picked.

Q4. The probability of a seed germinating is 1/3.  If two seeds are planted, what is the probability that one will germinate?

Q5. Two numbers are selected at random from the integers 1 through 9. If the sum is even, find the probability that both numbers are odd.

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my answers

Q3. 1/27

Q5. 3/10

Q2. A bag contains 14 yellow

Q2. A bag contains 14 yellow counters and 10 red counters. Two counters are taken out in succession and not replaced.
 What is the probability that two red counters are taken out?

ans is (10*9)/(24*23)=15/92

Little Satr

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