Gross Lewis
05/27/2024 · Middle School

Determine the probability that: 1.1 the team will win both matches? 1.2 the team loses both matches? 1.3 the team wins exactly one match? 1.4 the team wins at least one match? 1.5 the team loses the first match but wins the second?

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1.1 \( P(\text{Win both}) = P(W)^2 \) 1.2 \( P(\text{Lose both}) = P(L)^2 \) 1.3 \( P(\text{Win exactly one}) = 2 \times P(W) \times P(L) \) 1.4 \( P(\text{Win at least one}) = 1 - P(L)^2 \) 1.5 \( P(\text{Lose first, Win second}) = P(L) \times P(W) \)

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