1A coin is tossed and a die is rolled at the same time. What is the probability of getting a tail (T) on the coin and 3 on the die?
2A box contains 2 green, 3 red and 5 black balls of the same shape and size. One ball is drawn at random and replaced, and then another ball is drawn. Find the probability that both balls are of the same colour.
3With the same box of 2 green, 3 red and 5 black balls, one ball is drawn, replaced, and another is drawn. Find the probability that the two balls are of different colours.
4With the same box of 2 green, 3 red and 5 black balls, one ball is drawn, replaced, and another is drawn. Find the probability that at least one ball is red or black.
5A box contains 2 green, 3 red and 5 black balls of the same shape and size. One ball is drawn at random and not replaced, and then another ball is drawn. Find the probability that both balls are of the same colour.
6With the same box, one ball is drawn and not replaced, and another is drawn. Find the probability that the two balls are of different colours.
7With the same box, one ball is drawn and not replaced, and another is drawn. Find the probability that at least one ball is red or black.
8A bag contains 7 red and 8 yellow balls of the same shape and size. Two balls are drawn at random one after another, and the first is not put back. Find the probability that both balls are red or both are yellow.
9Two cards are drawn at random in succession, without replacement, from a well-shuffled pack of 52 cards. What is the probability that both are aces?
10Two cards are drawn at random in succession, without replacement, from a well-shuffled pack of 52 cards. What is the probability that one card is an ace and the other is a king?
11A bag contains one red, one green and one black marble of the same shape and size. One marble is drawn at random and not replaced, and then another marble is drawn. Find all the probabilities.
12Explain why two draws with replacement are independent events but two draws without replacement are dependent events.
13A die is rolled twice. What is the probability of getting 6 on both rolls?
14A pack of 52 cards has 13 hearts. Two cards are drawn one after another without replacement. Find the probability that both are hearts.