arliannav308 arliannav308

15-04-2021
Mathematics

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Consider a collection of envelopes consisting of 3 red envelopes, 1 blue envelope, 2 green envelopes, and 3 yellow envelopes. If two envelopes are selected at random, with replacement, determine the probability that at least one envelope is a red envelope.

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liltinyten41 liltinyten41

15-04-2021

Answer: The probability that at least one of the envelopes is red is 1/9 (simplified) or 9/81.

Step-by-step explanation:

There are a total of 9 envelopes. If two are selected at random with replacement the probability for both envelopes is 3 / 9 or 1/3. Since there are two you would do 1/3 * 1/3 to get 1/9 or 3/9 * 3/9 to get 9/81.

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