Questions
A pair of numbers is picked up randomly (without replacement) from the set {1, 2, 3,5, 7, 11, 12, 13, 17, 19). The probability that the number 11 was picked given that the sum of the numbers was even is nearly
detailed solution
Correct option is C
Let Abe the event that 11 is picked and B be the event that sum is even. The number of ways of selecting 11 along with one more odd number is n(A∩B)=7C1. The number of ways of selecting either two even numbers or selecting two odd numbers is n(B)=1+8C2. ∴ P(A/B)=P(A∩B)P(B)=729=0.24Similar Questions
A couple has 3 children and it is known that atleast one of them is a boy. Then the probability that the couple will have exactly two boys is
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