1)

a) ^{1}/_{6}

b) ^{1}/_{6}

c) ^{1}/_{2}

d) ^{2}/_{3}

e) ^{1}/_{3}

f) 1

g) 0

2)

a) ^{3}/_{4}

b) ^{1}/_{4}

3) 0.35

4)

a) 0.2

b) 0.4

5)

a) 0.5

b) 0.1

**Working**

**Questions**

1) We have a fair 6-sided dice. Work out the probability of the following events occurring:

a) the dice landing on a 6

b) the dice landing on 3

c) the dice landing on an even number

d) the dice landing on a number that is greater than 2

e) the dice landing on a number that is 2 or less than 2

g) the dice landing on a number that is less than 10

f) the dice landing on a number that is greater than 7

2) A bag contains 12 balls. 9 of the balls are green and 3 of the balls are red. We pick a ball out of the bag. What is:

a) the probability of picking a green ball?

b) the probability of picking a red ball?

3) A bag contains balls that are either pink, orange or blue. The probability of picking a pink ball is 0.4 and the probability of picking an orange ball is 0.25. What is the probability of picking a blue ball?

4) A bag contains yellow, green and brown balls. The probability of picking a green ball is 0.4. The probability of picking a yellow ball is twice the probability of picking a brown ball. What is:

a) the probability of picking a brown ball?

b) the probability of picking a yellow ball?

5) A football team can win, lose or draw. The team has an even chance of winning and the probability that the team loses is 0.4. What is:

a) the probability that the team wins?

b) the probability that the team draws?