Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin three times and notes the number of heads. If she gets 1, 2, 3 or 4, she tosses a coin once and notes whether a head or tail is obtained. If she obtained exactly one head, what is the probability that she threw 1,2,3 or 4 with the die?

Explanation

1st Step :
Defining the Formula:
The probability of getting one head when throwing the dice with 1,2,3 or 4, P(A|C) is-
`rArr P(A∣C)= frac{P(A)*P(C|A)}{P(A)*P(C|A)+P(B)*P(C|B)}`


where,
A= getting 1,2,3,4 on die
B=getting 5,6 on die
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