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Probability

Short Answer Type

1041. A coin is tossed 5 times. What is the probability that head appears an even number of times?

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1042. A coin is tossed 7 times. What is the probability that head appears an odd number of times?

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1043. A coin is tossed 7 times. What is the probability that tail appears an odd number of times?

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1044. A coin is tossed 5 times. What is the probability that head appears an odd number of times?

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1045. Past experience shows that 80 % of the operations performed by a doctor arc successful. If he performs 4 operations in a day, what is the probability that at least three operations will be successful?

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1046. Assume that on an average one telephone number out of 15 called between 2 P.M. and 3 P.M. on week days is busy. Why is the probability that if six randomly selected telephone numbers are called, at least three of them will be busy?

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1047. A bag contains 5 white, 7 red and 18 black balls. If four balls are drawn one by one with replacement, what is the probability that at least one is white?

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1048. A pair of dice is thrown 7 times. If getting a total of 9 is considered a success, what is the probability of at most 6 successes?

Here n = 7
In a throw of pair of dice, we get total of 9 when we get (3, 6), (4, 5), (5, 4), (6, 3)
$therefore space space space straight p space equals space 4 over 36 space equals 1 over 9 comma space space space straight q space space equals space 1 space minus space straight p space equals space 1 minus 1 over 9 space equals 8 over 9$
P(atmost 6 successes) = 1 - P(7) = 1 - $straight C presuperscript 7 subscript 7 space open parentheses 1 over 9 close parentheses to the power of 7 space equals space 1 space minus space open parentheses 1 over 9 close parentheses to the power of 7 space equals space 1 minus open parentheses 1 over 9 close parentheses to the power of 7.$

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1049. Five dice are thrown simultaneously. If the occurrence of an even number is considered as a success, find the probability of at the most 3 successes.

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1050. A die is thrown 6 times and getting a multiple of 3 is a success. Find the probability of getting at most 5 successes.

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