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A probability experiment consists of rolling a eight-sided die and spinning the

ID: 3178722 • Letter: A

Question

A probability experiment consists of rolling a eight-sided die and spinning the spinner shown at the right. The spinner is equally likely to land on each color. Use a tree diagram to find the probability of Die given event. Then tell whether the event can be considered unusual. Event rolling a number less than 2 and the spinner landing on green The probability of the event is. (Type an integer or decimal rounded to three decimal places as needed.) Can the event be considered unusual? A. Yes, because the probability is close enough to 1. B. No, because the probability is not close enough to 1. C. Yes, because the probability is close enough to 0. D. No, because the probability is not close enough to 0.

Explanation / Answer

Experiment 1 : Rolling 8 sided die.

X = event rolling a number

P(X < 2) = P(X = 1) + P(X =0)

n = 8

p = 1/8 = 0.125

q = 1 - p = 0.875

Binomial Distribution:

P(X=1) = 8C1 * 0.8757 * 0.125= 8 * 0.3927 * 0.125= 0.3927

P(X=0) = 0.8758 = 0.3436

So, P(X < 2) = 0.7363

EXPERIMENT 2:

spinner landing on green.

There are 4 colours.

So, P(spinner landing on green) = 1/4 = 0.25.

So,

P(rolling a number less than 2 and spinner landing on green) = 0.7363 X 0.25 = 0.1841

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