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A girl throws a die. If she gets 5 or 6,...

A girl throws a die. If she gets 5 or 6, tosses a coin three times and notes the number of heads. If she gets 1,2,3 or 4, she tosses a coin two times and notes the number of heads. If she obtained exactly two heads, what is the probability that she throws 1,2,3 or 4 with the die.

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Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin three times and notes the number of heads. If she gets 1, 2, 3 or 4, she tosses a coin once and notes whether a head or tail is obtained. If she obtained exactly one head, what is the probability that she threw 1, 2, 3 or 4 with the die ?

Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin three times and notes the numbers of heads. If she gets 1,2,3, or 4, she tosses a coin once and notes whether a head or a tail is obtained. If she attained exactly one head what is the probability that she threw 1,2,3, or 4 with the die?

If eight fair coins are tossed, what is the probability that there are exactly 3 heads.

An unbiased coin is tossed 4 times. Find the mean and variance of the number of heads obtained.

An unbiased coin is tossed 4 times. Find the mean and variance of the number of heads obtained.

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PRADEEP PUBLICATION-PROBABILITY-EXERCISE
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  2. If a machine is correctly set up, it produces 90% acceptable items. If...

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  3. A girl throws a die. If she gets 5 or 6, tosses a coin three times and...

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  4. Find the probability distribution of a random variable X which denotes...

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  5. Find the mean and variance of the number of heads on the throw of thre...

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  6. A dice is rolled thrice. If getting a four is considered a success, fi...

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  7. Find the probability distribution of the number of successes in two to...

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  8. Two dice are thrown simultaneously. If X denotes the numbers of sixes ...

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  9. Two cards are drawn with replacement from a well shuffled deck of 52 c...

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  10. Two cards are drawn one after the other from a well shuffled pack of 5...

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  11. An urn contains 4 white and 3 red balls. Find the probability distribu...

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  12. Four balls are to be drawn without replacement from a box containing 8...

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  13. Four defective oranges are accidently mixed with 16 good ones and by l...

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  14. A bag contains 2 white , 3 red and 4 blue balls. Two balls are drawn a...

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  15. Calcuate the mean variance and standard deviation of a number obtained...

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  16. Calcuate the mean, variance and standard deviation of number of heads ...

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  17. A die is tossed once. Let a random variable X be defined as X={(0,if t...

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  18. From a lot of 30 bulbs which include 6 defectives, a sample of 4 bulbs...

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  19. A coin is biased so that the head is 3 times as likely to occur as tai...

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  20. Two bad eggs are mixed accidently with 10 good ones. Find the probabil...

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