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## Suppose a girl throws a die. If she gets 1 or 2, she tosses a coin three times and notes the number of tails. If she gets 3, 4, 5 or 6, she tosses a coin once and notes whether a ‘head’ or ‘tail’ is obtained. If she obtained exactly one ‘tail’, what is the probability that she threw 3, 4, 5 or 6 with the die ? (MATHS-CBSE-12-2018)

##### Suppose a girl throws a die. If she gets 1 or 2, she tosses a coin threetimes and notes the number of tails. If she gets 3, 4, 5 or 6, she tosses acoin once and notes whether a ‘head’ or ‘tail’ is obtained. If she obtainedexactly one ‘tail’, what is the probability that she threw 3, 4, 5 or 6 withthe die ? (MATHS-CBSE-12-2018)

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Let A be the event that girl will get 1 or 2

P(A) ==

Let B be the event that girl will get 3, 4, 5 or 6

P(B) ==

P(T/A) = Probability of exactly one till given she will get 1 or 2 =

P(T/B) = Probability of exactly one till given she will get 3, 4, 5 or 6

=

Hence the probability that she threw 3,4,5 or 6 with the ride is.

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