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ebaygif Blue One Size

a fair spinner has six sections of equal size one section is blue two green 3 red the spinner is spun twice-?

calculate the probability that it lands on the same colour both times

another question again to do with the same

when the spinner lands on a blue section 7 points are scored

when the spinner lands on a green section 5 points are scored

when the spinner lands on a red section 3 points are scored
calculate the probability of scoring exactly 10 points in two spins

1. Probability that it lands on the same color both times.
P(green, green) = (2/6)(2/6) = 1/9
P(red, red) = (3/6)(3/6) = 1/4
P(blue, blue) = (1/6)(1/6) = 1/36
The sum of these is what we want: 1/9 + 1/4 + 1/36 = (4 + 9 + 1)/36 = 7/18

2. Blue = 7 points, Green = 5 points, Red = 3 points
Consider the possible combinations to score a 10 and add the probabilities:
P(blue, red) = (1/6)(3/6) = 1/12
P(green, green) = (2/6)(2/6) = 1/9
P(red, blue) = (3/6)(1/6) = 1/12
Sum is what we want: 1/12 + 1/9 + 1/12 = (3 + 4 + 3)/36 = 5/18

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