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Elementary Probability Exx 1 1. An ordinary die is thrown. Find the probability that the number obtained is (a) even (b) prime (0) even or prime. 2. A card is drawn at random from an ordinary pack containing 52 playing cards. Find the probability that the card drawn, (a) is the four of spades, (b) is the four of spades or any diamond, (c) is not a picture card of any suit. 3. A counter is drawn from a box containing 10 red, 15 black, 5 green and 10 yellow counters. Find the probability that the counter is (a) black, (b) not green or yellow, (c) not yellow, (d) red or black or green (e) not blue. 4. Two ordinary dice are thrown. Find the probability that (a) the sum on the two dice is 3 (b) the sum on the two dice exceeds 9, (c) the two dice show the same number, (d) the numbers on the two dice differ by more than 2, (e) the product of the two numbers is even 5. A fair coin is tossed thrice. Find the probabilities of the following events: (a) B1 getting at least two heads (b) E2 getting at most two tails (0) E3 getting exactly two tails (i) E,1 getting exactly one head or one tail