Question

A spinner and 4 cards are shown below:

A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them.

Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected?

1 over 20
1 over 5
1 over 4
9 over 20

Answer 1

Answer: 1 over 20

Step-by-step explanation: If the spinner has 5 parts to it at purple is one of those parts then the spinner has a 1/5 chance of it landing there.

If there are 4 cards and 1 of them are pink then there is a 1/4 chance of picking pink(if done randomly)

So if we mutiply 1/4 and 1/5, we get 1/20

That is how I arrived at my answer of 1 over 20