Question

You choose at random from the letters a b c and d and you roll a number cube once what are the chances you get a and 5

Make a tree diagram too.

Answer 1

The chances to get a5 is 1/24

Explanation:

The chances to get an a from data set {a, b, c, d} is = desired outcome / total possible outcomes = 1/4

The chances to get an 5 from data set {1, 2, 3, 4, 5, 6} is = desired outcome / total possible outcomes = 1/6

Both events are independent, then the chances to get a5 is = 1/4 * 1/6 = 1/24

In the figure attached, the tree diagram is shown. It can be seen that there are 24 possible outcomes and only one a5, therefore, the previous result is confirmed.