Question: Pr(AB) = Pr(A) x Pr(B). show equation for each step.To calculate the probability of picking the #1 card twice in a row with replacement, you'll
Pr(AB) = Pr(A) x Pr(B). show equation for each step.To calculate the probability of picking the "#1" card twice in a row with replacement, you'll use the formula for independent events, which is P(A and B) = P(A) * P(B). In this case, the probability of picking the "#1" card twice is (1/4) * (1/4) = 1/16 or 6.25%. Here's a more detailed breakdown: Probability of picking the #1 card on the first pick: There's one "#1" card out of four total cards, so the probability is 1/4. Probability of picking the #1 card on the second pick (after replacement): Since you replaced the card, the situation is the same as the first pick. There's still one "#1" card out of four total cards, so the probability is again 1/4. Probability of both events happening: To find the probability of both events (picking the #1 card on the first pick AND picking it again on the second pick), you multiply the individual probabilities: (1/4) * (1/4) = 1/16. 1/16 as a percentage = (1/16) * 100 = 6.25%
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