Question

(a) Draw a tree diagram to display all the possible outcomes that can occur when you flip a coin and then toss a die.

(b) How many outcomes contain a head and a number greater than 4?


(c) Probability extension: Assuming the outcomes displayed in the tree diagram are all equally likely, what is the probability that you will get a head and a number greater than 4 when you flip a coin and toss a die? (Round your answer to three decimal places.)

Answer 1

(a)

First event is tossing a dice which has two outcomes, thus the tree will first split into 2 branches. the second event is rolling of a dice which has 6 outcomes thus each of the 2 branches will be furthur divided into the 6 sub-branches.

3 4 5 6 7 8 9 10 11 12 13 14

(b)

To do this I will redraw the tree diagram.

Start 1 (2 (3 (4) 5 (6

There are 2 outcomes which contain a head and a number greater than 4.

(c)

There are a total of 12 possibilities out of which 2 are favorable cases.

$P=\frac{2}{12}=0.167$