A coin is tossed 6 times. What is the probability of getting at

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 Multiple Choice QuestionsShort Answer Type

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1031. A coin is tossed 6 times. What is the probability of getting at least two heads?


Here n = 6
Let p be the probability of getting a head
therefore space space space straight p space equals space 1 half comma space space space straight q space equals space 1 minus straight p space equals space 1 minus 1 half space equals space 1 half
P(at least 2 heads) = 1 - left square bracket straight P left parenthesis 0 right parenthesis space plus space straight P left parenthesis 1 right parenthesis right square bracket
                        equals space open square brackets 1 minus straight C presuperscript 6 subscript 0 open parentheses 1 half close parentheses to the power of 6 plus space straight C presuperscript 6 subscript 1 space open parentheses 1 half close parentheses to the power of 1 space open parentheses 1 half close parentheses to the power of 5 close square brackets
equals space open square brackets 1 minus space cross times open parentheses 1 half close parentheses to the power of 6 space plus space 6 space cross times space open parentheses 1 half close parentheses to the power of 6 close square brackets space equals space 1 minus 1 over 64 left square bracket 1 plus 6 right square bracket space equals 1 minus 7 over 64 space equals space 57 over 64
             

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1032. A coin is tossed 6 times. What is the probability of getting at least four heads?
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1033. A coin is tossed 5 times. What is the probabilities of obtaining at least 2 tails?
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1034. A fair coin is tossed 7 times. Find the probability of obtaining at least 5 tails.
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1035. A coin is tossed 3 times. Find the probability of at least two heads.
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1036. A die is thrown 5 times. If getting an odd number is success, find the probability of getting at least 4 successes.
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1037. A die is thrown 6 times. If getting an odd number is a success, what is the probability of at least 5 successes?
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1038. A die is thrown 6 times. Getting a number greater than 4 is considered a success. Find the probability of at least two successes.
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1039. An unbiased die is thrown 3 times. If getting a 2 or 5 is considered a success, find the probability of at least 2 successes.
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1040. Five dice are thrown simultaneously. If the occurrence of 3, 4 or 5 in a single die is considered a success, find the probability of at least three successes.
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