Question

A disc-shaped spinner has five sections with the following colors and central angles:

Blue, 60; Red, 120; Green, 45; Red, 45; and Yellow, 90. Determine the probability for one spin of the spinner.
P(B U G)

Answer 1

P(BUG) = P(B)+P(G) = 60/360 + 45/360 = 1/6 + 1/8 = 7/24

Answer 2

[AI-generated answer — Explain Bot]

To determine the probability of getting either Blue or Green (P(B U G)), we first need to find the total number of sections on the spinner and calculate the probability for each color individually.

Given that the spinner has five sections, we can calculate the probability for each color by dividing the central angle of that color by the total sum of all central angles:

Blue: 60 / (60 + 120 + 45 + 45 + 90)
Green: 45 / (60 + 120 + 45 + 45 + 90)

Simplifying the fractions:

Blue: 60 / 360
Green: 45 / 360

Now we calculate the probability for each color:

P(Blue) = 60 / 360 = 1/6
P(Green) = 45 / 360 = 1/8

Finally, to find P(B U G), we need to sum the probabilities of Blue and Green:

P(B U G) = P(Blue) + P(Green)
= 1/6 + 1/8

To simplify the sum, we need a common denominator:

P(B U G) = 4/24 + 3/24
= 7/24

Therefore, the probability of getting either Blue or Green on one spin of the spinner is 7/24.