1. A cubical die is tossed. Find the probability of getting:
- 5
- not 5
- a number greater than 3
- an even number
- a prime number
- a number ≥ 2
- a number ≤ 4
- a number < 7
- a number > 6
2. Two dice are thrown at the same time. Find the probability that:
- both the dice show the same number
- both dice do not show the same number
- the first dice shows 6
- the total of the numbers on the dice is 9
- the total of the numbers on the dice is > 8
- the total of the numbers on the dice is 13
- the sum of two faces is 5 or 7.
3 a. Two coins are tossed. Find the probability of getting:
- 2 heads
- at least 1 head
- no head
- 1 head and 1 tail.
3 b. Three coins are tossed simultaneously. Find the probability of getting:
- all heads
- exactly 2 heads
- one head
- at least one head
- at least two heads
- at most one head
- a most two heads
- all tails
4. A card is drawn from a pack of 52 cards. Find the probability that it is:
- a jack of red colour
- an ace
- not an ace
- a heart card
- a jack, a queen or a king
- a card 4 or a card 5 or a card 6
- red card
- a king of club
- a card of black colour or a king
- a face card
5 a. A bag contains 5 white, 7 black, and 8 red balls. A ball is drawn at random. What is the probability that it is :
- a red ball
- a red ball or a white ball
5 b. An urn contains 9 red, 7 white, and 4 black balls. A ball is drawn at random. Find the probability that the ball drawn is:
- red
- not red
- white
- red or white
- white or black
6 a. What is the probability that a leap year selected at random, will contain 53 Mondays?
6 b. What is the probability that a non-leap year selected at random, will contain 53 Fridays?
7. One ticket is drawn at random from a bag containing 30 tickets numbered from 1 to 30. Find the probability that:
- it is a multiple of 5 or 7
- it is a multiple of 3 or 7
- it is a even number
- it is a prime number
8. A bag contains 6 black, 4 white and 8 red balls. If 3 balls are drawn at random. Find the probability that:
- all the 3 are black
- all the 3 are red
- 2 are white and 1 black
