SOLUTION: Independent Events Question 1 A bag contains 6 yellow sweets and 4 blue sweets. A sweet is taken out at random, it is replaced, and another is taken out. Find the probability t

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Question 1068759: Independent Events
Question 1
A bag contains 6 yellow sweets and 4 blue sweets. A sweet is taken out at random, it is replaced, and another is taken out. Find the probability that at least one sweet is blue
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the possible outcomes,
YY
YB
BY
BB
At least one blue means "not both yellow", so let's solve for the probability of both yellow.
P%28YY%29=%286%2F10%29%286%2F10%29=36%2F100=9%2F25
So the complement is the probability that at least 1 is blue.
P=1-9%2F25=25%2F25-9%2F25=highlight%2816%2F25%29
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.
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You could have also done it the other way and calculate the other probabilities,
P=P%28YB%29%2BP%28BY%29%2BP%28BB%29

Same answer but less work.