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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 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)
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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