Two-step experiments

A 10-cent coin is tossed and an ordinary six-sided die is rolled.

How many possible outcomes are there?

• 2

• 6

• 12

A 10-cent coin is tossed and an ordinary six-sided die is rolled.

Find the probability of 'tails' on the coin and with an even number on the die.

• 3

• 1/2

• 1/4

Gareth goes into a shop to buy an eraser and a pencil. He has a choice of a red, a green or a yellow pencil and a round, a square or a triangular shaped eraser.

How many possible outcomes are there?

• 3

• 6

• 9

• 12

Gareth goes into a shop to buy an eraser and a pencil. He has a choice of a red, a green or a yellow pencil and a round, a square or a triangular shaped eraser.

Find the probability that he bought a green pencil.

• 1/6

• 1/3

• 3

One bag contains 1 red counter, 2 yellow counters and 1 blue counter. Another bag contains 1 yellow counter, 2 red counters and 1 blue counter. One counter is taken at random from each bag.

Find the probability that two yellow counters are chosen.

• 1/16

• 1/8

• 1/4

• 1/2

One bag contains 1 red counter, 2 yellow counters and 1 blue counter. Another bag contains 1 yellow counter, 2 red counters and 1 blue counter. One counter is taken at random from each bag.

Find the probability that a red counter is chosen.

• 7/16

• 5/8

• 1/4

• 3

One bag contains 1 red counter, 2 yellow counters and 1 blue counter. Another bag contains 1 yellow counter, 2 red counters and 1 blue counter. One counter is taken at random from each bag.

Find the probability that a red and yellow counter are chosen.

• 5/16

• 3/8

• 6

• 3/16

One bag contains 1 red counter, 2 yellow counters and 1 blue counter. Another bag contains 1 yellow counter, 2 red counters and 1 blue counter. One counter is taken at random from each bag.

Find the probability that a blue is chosen 1st and a red is chosen 2nd.

• 3/16

• 1/8

• 5/16

• 1/4

Two letters are chosen from the word free without replacement.

How many possible outcomes are there?

• 16

• 4

• 12

Two letters are chosen from the word free without replacement.

Find the probability of obtaining an outcome with an R in it.

• 1/2

• 1/3

• 7/16

• 1/4