Robert spins the spinner and rolls a standard number cube. Find the probability that the spinner will stop on purple and the cube will show a six.

The spinner has six different colors

I have to know more about the spinner.

How many colours, etc

To find the probability that the spinner will stop on purple and the number cube will show a six, we need to know the total number of possible outcomes for both events and the number of favorable outcomes.

Let's break down the problem into two parts:

Part 1: Probability of the spinner stopping on purple
If we know the number of equally likely outcomes on the spinner and the number of favorable outcomes for purple, we can determine the probability of the spinner stopping on purple.

Let's assume the spinner has six equally likely outcomes (for example, purple, red, blue, green, yellow, and orange), and there is only one favorable outcome (purple) for this event.

Therefore, the probability of the spinner stopping on purple is 1/6.

Part 2: Probability of the number cube showing a six
Similarly, we need to determine the probability of rolling a six on a standard number cube. Since a standard number cube has six equally likely outcomes (numbers 1 to 6), and there is only one favorable outcome (rolling a six), the probability of rolling a six is 1/6.

Now, to find the probability that both events occur simultaneously (spinner stops on purple and cube shows a six), we multiply the probabilities of each event.

Probability of spinner stopping on purple * Probability of cube showing a six:
(1/6) * (1/6) = 1/36

Therefore, the probability that the spinner will stop on purple and the cube will show a six is 1/36.