3 The probability that a basketball team will win any match is 0.7 . The probability that they will draw is 0.25 . Calculate the probability that, in their next two matches, the basketball team will win one of them and lose the other.
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To find the probability that the basketball team will win one match and lose the other in their next two matches, we first need to identify the relevant probabilities. The probability of winning (W) is 0.7, the probability of losing (L) is 1 - (W + D) = 1 - (0.7 + 0.25) = 0.05, and the probability of drawing (D) is 0.25. The scenarios where the team wins one match and loses the other are: 1. Win first, lose second (WL) 2. Lose first, win second (LW) Now, we calculate the probability for each scenario: - For WL: P(W) * P(L) = 0.7 * 0.05 = 0.035 - For LW: P(L) * P(W) = 0.05 * 0.7 = 0.035 Now, we add the two probabilities: P(WL) + P(LW) = 0.035 + 0.035 = 0.07 Thus, the probability that the basketball team will win one match and lose the other in their next two matches is 0.07.