A box contains 10 pink rubber bands and 20 brown rubber bands. What is the probability of picking a pink rubber band, putting it back, and then picking another pink rubber band? P(pink and then pink)

Answer 1

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Answer 2

I apologize for any inconvenience. The probability of picking a pink rubber band and then picking another pink rubber band, with replacement, can be calculated by multiplying the individual probabilities.

The probability of picking a pink rubber band on the first draw is 10/30, or 1/3. After replacing the rubber band, the probability of picking another pink rubber band on the second draw is also 1/3.

Therefore, the probability of picking a pink rubber band and then picking another pink rubber band is:

P(pink and then pink) = P(pink) x P(pink | pink)

= (1/3) x (1/3)

= 1/9

So the probability of picking a pink rubber band, putting it back, and then picking another pink rubber band is 1/9.