At a carnival game, the chance of winning a prize is 0.45. Elijah plays the game 5 times. What is the probability that he wins 1 prize in 5 games?

Use the binomial probability for exactly 1 win in 5 games: choose which of the 5 games is a win, then multiply by the probability of that win and four losses. This gives 5 × 0.45 × (1 − 0.45)^4 = 5 × 0.45 × 0.55^4 ≈ 0.206, which rounds to 0.21. So the correct choice is 0.21.

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