I have a bag of toys. 10% of the toys are balls. 10% of the toys are blue. If I draw one toy at random, what're the odds I'll draw a blue ball?

listgrein6u 2022-09-17 Answered
I have a bag of toys. 10% of the toys are balls. 10% of the toys are blue.
If I draw one toy at random, what're the odds I'll draw a blue ball?
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Answers (1)

Yaritza Cardenas
Answered 2022-09-18 Author has 20 answers
Since it is not entirely clear from the question, I will assume every toy has an equal probability of being blue. So we are assuming the unlikely proposition that no correlation (positive or otherwise) exists between color and type-of-toy. Otherwise, could very well be that 10% of the toys are neon-green balls (tennis balls, e.g.) and 10% of the toys are blue blocks, in which case you have 0% probability that you'll draw a blue ball.
We know 10% =0.1 of the toys are balls, and 10% =0.1 of these balls are blue.
Then 10% of (10%) of the toys are blue balls.
So the probability of drawing a blue ball is 0.1 × 0.1 = 0.01
This equates to a 0.01 × 100% = 1% probability of drawing a blue ball.

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