If 

One card is drawn from a pack of 52 cards. Find the probability of getting

(a) a spade or a king. (b) neither a spade nor a king.

An athelete enters for both 100m and 200m races in a competetion. The probability that he wins a medal in 100m is 0.10, the probability that he wins a medal in 200m is 0.15 and the probability that he wins a medal in both events is 0.07. What is the probability that:

(a) he wins a medal in at least one event?

(b) he does not win medal?

(c) he wins a medal in 100m but not in 200m?

A survey was conducted on 100 students, 20 of whom said that they drank coffee every day, 60 of them said that they drank tea while 70 of them said they drank at least one of the two baverages. Find the probability that a student selected random drank:

(a) both beverages                 (b) none of the two                (c) drank coffee but not tea.

One card is drawn from a pack of 52 cards, Find the probability that

(a) it is either spade or a face card (4 Jacks, 4 queens, 4 kings)

(b) It is either a black card or a queen.

567.

Two dice are rolled. What is the probability of getting:

(a) an even number on the first die and a total of 8?

(b) an even number on the first die or a total of 8?

(c) neither an even number on the first die nor a total of 8?

One natural number is selected from the first 100 natural numbers. Find the probability that:

(a) it is divisible by 3 or by 4.

(b) it is neither divisible by 3 nor by 4.

(c) it is divisible by 3 and not by 4.

(d) it is divisible by 4 and not by 3.

Two dice are rolled and sum of the numbers appearing on them are noted. Find the probability that the sum is:

(a) either divisible by 4 or by 5                   (b) neither by 4 nor by 5.

One card is drawn from a well shuffled pack of 52 cards. Find the probability, that the card is :

(a) a jack or a queen                               (b) a club or a diamond

(c) an ace or a black card                         (d) neither ace nor jack.