Question

This is a compound event problem. (Check the videos from this week's assignments.).

Answer 1

Answer:

The probability of the spinner landing on red or yellow as a fraction = 2/3

The probability of the spinner landing on red or yellow as a decimal = 0.67

The probability of the spinner landing on red or yellow as a percent = 67%

Step-by-step explanation:

The spinner has 4 green, 4 yellow, and 4 red

Number of green outcomes = 4

Number of yellow outcomes = 4

Number of red outcomes = 4

Total number of outcomes = 4 + 4 + 4

Total number of outcomes = 12

We are asked to find the probability that the spinner lands on red or yellow.

We know that probability of an event X is given by

The probability that the spinner lands on red is,

P(red) = 4/12

P(red) = 1/3

The probability that the spinner lands on yellow is,

P(yellow) = 4/12

P(yellow) = 1/3

The probability that the spinner lands on red or yellow is,

P(red or yellow) = P(red) + P(yellow)

P(red or yellow) = 1/3 + 1/3

P(red or yellow) = 2/3

The probability of the spinner landing on red or yellow as a fraction = 2/3

The probability of the spinner landing on red or yellow as a decimal = 0.67

The probability of the spinner landing on red or yellow as a percent = 67%

Note:

Since we are asked to find the probability of the spinner landing on red or yellow, that's why we have added the probabilities of these two events.

OR corresponds to addition of probabilities

AND corresponds to multiplication of probabilities