1What is the probability of getting an even number or a prime number when a die is thrown once?
2What is the probability of getting an ace or a face card when a card is drawn from a well-shuffled pack of 52 cards?
3What is the probability of getting two heads when two coins are tossed together?
4When a coin is tossed, A is getting a head (H) and B is getting a tail (T). Are A and B mutually exclusive?
5When a die is rolled, P is getting an even number and Q is getting an odd number. Are P and Q mutually exclusive?
6A card is drawn from a well-shuffled pack. F is getting a face card and A is getting a spade. Are F and A mutually exclusive?
7A card is drawn from a well-shuffled pack. T is getting a 10 and A is getting an ace. Are T and A mutually exclusive?
8A bag contains 5 white, 8 green and 7 blue balls. A ball is drawn at random. G is getting a green ball and B is getting a blue ball. Are G and B mutually exclusive?
9Find the probability of getting at least one head (H) when two coins are tossed.
10Find the probability of getting a prime number when a die is rolled.
11Find the probability of getting a face card when a card is drawn from a well-shuffled pack of cards.
12Using the months of the English calendar, find the probability that a boy is born in a month with 30 days.
13Find the probability of getting a white ball when a ball is drawn from a bag containing 4 white, 7 green and 5 blue balls.
14A bag contains 6 red, 5 yellow and 7 blue identical balls. If a ball is drawn at random, find the probability that it is red or blue.
15Three coins are tossed together. Find the probability that all three are heads or all three are tails.
16When a die is rolled, find the probability of getting a prime number or 4.
17When a card is drawn from a well-shuffled pack of cards, find the probability of getting a 10 or an ace.
18When a card is drawn from a well-shuffled pack of cards, find the probability of getting a face card or a spade.
19When a letter is drawn from the word MATHEMATICS, find the probability of getting the letter M or T.
20When a letter is drawn from the word STATISTICS, find the probability of getting the letter S or T.
21When a letter is drawn from the word RHODODENDRON, find the probability of getting the letter O or D.
22Out of 15 students in a class, 8 opted for English, 9 for Mathematics and 4 for both subjects. When a student is selected at random, what is the probability of getting Mathematics or English?
23If \( P(A) = 0.45 \), \( P(B) = 0.35 \) and \( P(A \cap B) = 0.15 \), find \( P(A \cup B) \). Are A and B mutually exclusive?
24Explain why \( P(A) + P(B) \) gives a wrong answer for 'an even number or a prime number' on a die, and why the addition law for mutually exclusive events is a special case of the general law.