1)

a)

b) ^{1}/_{8}

c) ^{3}/_{8}

d) ^{1}/_{2}

e) ^{3}/_{16}

2)

a)

b) ^{1}/_{9}

c) ^{2}/_{9}

d) ^{1}/_{9}

e) ^{1}/_{9}

3)

a)

b) ^{1}/_{4}

c) ^{3}/_{4}

d) ^{5}/_{12}

e) ^{5}/_{6}

f) ^{3}/_{4}

**Working**

*Coming soon!*

**Questions**

1) A student has a fair 4-sided spinner with numbers from 1-4. The spinner is spun twice and numbers from each of the spins are added together.

a) Complete the diagram below.

b) Find the probability that the sum of the two spins is 3

c) Find the probability that the sum of the two spins is greater than 5

d) Find the probability that the sum of the two spins is even

e) Find the probability that the sum of the two spins is less that 4

2) There are 3 different coloured balls in a bag; blue, green and pink. After a ball has been picked out of the bag it is replaced. A ball is picked out of the bag twice.

A) Fill in the probability space below. Two have already been done for you.

c) Find the probability that the sum of the two spins is greater than 5

d) Find the probability that the sum of the two spins is even

e) Find the probability that the sum of the two spins is less that 4

2) There are 3 different coloured balls in a bag; blue, green and pink. After a ball has been picked out of the bag it is replaced. A ball is picked out of the bag twice.

A) Fill in the probability space below. Two have already been done for you.

Now assume that the number of each coloured ball is the same. Work out the probabilities of the following events occurring (use the probability space that you have just created to help you):

b) Picking two pink balls

c) Picking a pink and a green ball in any order

d) Picking a blue ball on the first pick and then picking a pink ball on the second pick

e) Picking a green ball on the first pick and then picking a blue ball on the second pick

3) Two friends have a different number of cards with different numbers on each of the cards. Here are the cards that each individual has.

Antony

2, 3, 5, 6

Olivia

3, 4, 7

Both individuals pick a card at random. We multiply the two cards that are picked together to get a score.

a) Complete the possibility table. One has already been done for you.

b) Picking two pink balls

c) Picking a pink and a green ball in any order

d) Picking a blue ball on the first pick and then picking a pink ball on the second pick

e) Picking a green ball on the first pick and then picking a blue ball on the second pick

3) Two friends have a different number of cards with different numbers on each of the cards. Here are the cards that each individual has.

Antony

2, 3, 5, 6

Olivia

3, 4, 7

Both individuals pick a card at random. We multiply the two cards that are picked together to get a score.

a) Complete the possibility table. One has already been done for you.

Work out the probabilities of the following events occurring.

b) The score is an odd number

c) The score is an even number

d) The score is greater than 19

e) The score is less that 25

f) The score is a multiple of 3

b) The score is an odd number

c) The score is an even number

d) The score is greater than 19

e) The score is less that 25

f) The score is a multiple of 3