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A batch of 50 transistors contains 3 defective ones. Two transistors are selected at random from the batch and put into a radio set. What is the probability that both the transistors selected are defective?

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Important Questions on Probability

MEDIUM
CAT
IMPORTANT
A batch of 50 transistors contains 3 defective ones. Two transistors are selected at random from the batch and put into a radio set. What is the probability that only one is defective?
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IMPORTANT
A batch of 50 transistors contains 3 defective ones. Two transistors are selected at random from the batch and put into a radio set. What is the probability that neither is defective?
EASY
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The probability that a man will be alive in 35 years is 35 and the probability that his wife will be alive is 37. Find the probability that after 35 years.

both will be alive.

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A speaks the truth 3 out of 4 times, and B 5 out of 6 times. What is the probability that they will contradict each other in stating the same fact?
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A party of n persons sit at a round table. Find the odds against two specified persons sitting next to each other.
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If 4 whole numbers are taken at random and multiplied together, what is the chance that the last digit in the product is 1, 3, 7or 9?
EASY
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In four throws with a pair of dices what is the chance of throwing a double twice?
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A life insurance company insured 25,000 young boys, 14,000 young girls, and 16,000 young adults. The probability of death within 10 years of a young boy, young girl, and a young adult are 0.02, 0.03 and 0.15 respectively. One of the insured persons dies. What is the probability that the dead person is a young boy?