Question

Randy spins the arrow on a spinner with 5 equal sections labeled A, B, C, D, and E. Then, he rolls a 6-sided number cube with sides numbered 1 through 6. What is the probability that the arrow will stop on the letter A and the number cube will show the number 4?

Answer 1

This is a probability question

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of required outcomes and the total number of outcomes.

Step 1:

Find the probability of selecting Letter A from the spinner

The number of total outcomes = 5

number of required outcome =1

`Probability\text{ that the arrow spins on A=}(1)/(5)`

Step 2: Find the probability that a number 4 is selected

The number of total outcomes = 6

number of required outcome =1

`probability\text{ that a number 4 is selected=}(1)/(6)`

Step 3: Find the probability that the arrow will stop on the letter A and the number cube will show the number 4

`P=(1)/(5)*(1)/(6)=(1)/(30)`

The probability is 1/30