You Can

You Can
Can you help me with a probability question?

A crystal is placed in one of 10 identical boxes and a person must randomly choose which box the crystal is in, so the probability of guessing correctly is 0.1. The experiment is repeated seven times. What is the probability that a person will guess correctly at least once?

Can you explain to me how I can work this out? I've tried two different ways and I can't match the answer in the back of the book. Thank you so much!
Thank you so much! I will make your answer the best answer as soon as it lets me.

Let A denote the event that the person is able to guess correctly at least once.
=> A' = event that the person fails to guess correctly in any of the seven attempts
=> P(A)
= 1 - P(A')
= 1 - (0.9)^7
= 0.5217031.

U2 - Sometimes You Can't Make It On Your Own

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