Q1. If you throw a coin 5 times, what is the probability of:
- throwing 5 heads
- throwing 4 tails
- throwing 3 heads and 2 tails
Q2. Construct a tree diagram to verify your answers for Q1.
Q3. If you throw a dice 4 times, what is the probability of:
- throwing 4 sixes
- throwing 3 fives and a 2
- scoring 16 in total
Q4. a) Give two examples of independent events. Explain why they are independent.
b) A card is to be selected from a pack of cards and a die is to be thrown. Find the probability that the outcome will be:
A spade and an even number on the die.A red card and a number less than 5 on the die
Q5. a) Give two examples of mutually exclusive events. Explain why they are mutually exclusive.
b) A coin is tossed and a die is thrown. Find the probability that the outcome will be a head or a number greater than 4, or both.
Q6. A box contains 3 Red balls, 6 Green Balls and 5 Blue balls. Three balls were drawn at random. Use the Combinations concept, work out the probability for the following cases:
1 is red and the other 2 are blue.
2 are green balls and the other is red.
None are green balls.