1) Evaluate P (A U B) if 2 P(A) = P (B) = and P (A | B) =
2) A die is thrown twice and the sum of the numbers appearing is observed to be 7. What is the probability that the number 2 has appeared atleast once ?
3) Assume that each child born is equally likely to be a boy or a girl. If a family has 2 children, what is the conditional probability that both are girls given that
(i) the youngest is a girl
(ii) atleast one is a girl.
4) In a certain school, 20% of the students failed in English, 15% failed in Mathematics and 10% failed in both English and Mathematics. A student is selected at random. If he failed in English, what is the probability that he also failed in Mathematics?
5) A die is thrown 3 times, if the first throw is a four then find the probability of getting 15 as a sum.
6) Two integers are selected at random from integers 1 to 11. If the sum is even, find the probability that both numbers are odd.
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