Question

Find the probability of this event. Enter the answer as a fraction in simplest form, as a decimal to the nearest hundredth, and as a percent to the nearest whole number.


You spin the spinner. The spinner lands on blue or yellow.



The probability of the spinner landing on blue or yellow as a fraction is????

The probability of the spinner landing on blue or yellow as a decimal is????

.

The probability of the spinner landing on blue or yellow as a percent is????

(the spinner has 4 green, 4 yellow, and 4 blue)

Answer 1

Answer:

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

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

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

Step-by-step explanation:

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

Number of green outcomes = 4

Number of yellow outcomes = 4

Number of blue 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 blue or yellow.

We know that probability of an event X is given by

$P(X) = \frac{Number \: of \: desired \: outcomes}{Total \: number\: of\: outcomes}$

The probability that the spinner lands on blue is,

P(blue) = 4/12

P(blue) = 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 blue or yellow is,

P(blue or yellow) = P(blue) + P(yellow)

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

P(blue or yellow) = 2/3

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

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

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

Note:

Since we are asked to find the probability of the spinner landing on blue 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