A coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. Find the probability of obtaining head and a number 6.

Solution

Here, $straight P left parenthesis straight H right parenthesis space equals 1 half comma space space space straight P left parenthesis straight T right parenthesis space equals space 1 half comma space space straight P left parenthesis 6 right parenthesis space equals space 1 over 6 comma space space space straight P left parenthesis even right parenthesis space equals space 3 over 6 space equals space 1 half$
P(head and number 6) = P(H) P(6) = $1 half cross times 1 over 6 space equals 1 over 12$

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Probability

A coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. Find the probability of obtaining head and a number 6.

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