In a scenario where there are 120 lottery tickets, each with a 40% chance of winning, if 3 tickets are purchased randomly, what is the probability that at least one of the tickets will win?

Answer Choices

Correct answer marked below

0.42

0.54

0.68

0.784

Correct

0.852

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Official Explanation

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In this case, we have 120 lottery tickets, each with a 40% chance of winning. When 3 tickets are bought, we want to find the probability that at least one ticket wins. First, we calculate the probability of losing. The probability of winning is P(win) = 0.4, thus P(lose) = 1…

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Comments

WongFeb 14, 2024

Any shortcuts for solving this faster?

NimraMay 25, 2024

Great!

What this question tests

What it tests

Your ability to compute probabilities of single and compound events, including 'at least one' questions.

Common trap

Forgetting to use the complement for 'at least one', or treating dependent events as independent.