Question 647819: please please help me do this last problem using a tree diagram
You have two spinners,each with black, white and gray sections. The gray section is twice as large as the black or white section. If you spin them both,what is the chance that one will come up black and one gray?Show your work by drawing a tree diagram,then indicating which ones satify the experimental conditions. Please help
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! You have two spinners,each with black, white and gray sections. The gray section is twice as large as the black or white section.
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For each spinner: p(gray) = 1/2 ; P(white) = 1/4 ; P(black) = 1/4
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If you spin them both,what is the chance that one will come up black and one gray?
P(black on one and gray on other) = (1/4)(1/2) = 1/8
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Show your work by drawing a tree diagram,then indicating which ones satify the experimental conditions.
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Tree diagram:
1st column: gray ; black ; white ; gray
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2nd column to the right of each of the four 1st column elements,
list the 4 elements gray/glack/white/gray
To get the probability of black/gray notice that you have 2 (black,gray)
pairs out of a total of 16 pairs.
So Probability of black/gray = 2/16 = 1/8
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Cheers,
Stan H.
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