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The following letters are placed into a basket and drawn at random 6 times, replacing the letter drawn each time. What is the probability of drawing an a or c at least once? Round your answer to two decimal places.

User Raimondo
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The probability of drawing an 'a' or 'c' at least once in 6 draws is approximately 0.98.

The probability of drawing an 'a' or 'c' at least once in 6 draws can be calculated by considering the complementary probability—finding the probability of not drawing 'a' or 'c' in any of the draws and then subtracting it from 1.

There are a total of 26 letters in the basket. The probability of not drawing 'a' in a single draw is 25/26, and the probability of not drawing 'c' is also 25/26. Since the draws are independent and with replacement, the probability of not drawing 'a' or 'c' in a single draw is (25/26)^2.

To find the probability of not drawing 'a' or 'c' in all 6 draws, we raise this probability to the power of 6: (25/26)^6. Then, we subtract this probability from 1 to get the probability of drawing 'a' or 'c' at least once:

1−(25/26)^6.

Calculating this expression gives approximately 0.98, so the probability of drawing 'a' or 'c' at least once in 6 draws is approximately 0.98 when rounded to two decimal places.

User Arun Kumaresh
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