AnswersPISD-Statistics B 4th GPThe Multiplication Rule for Dependent EventsQuestion 1
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AssignmentMultiple Choice

The Multiplication Rule for Dependent Events

Question 1 • PISD-Statistics B 4th GP

The probability that a student passes the AP Stats exam is 0.57. The probability that a student passes the AP Calculus exam is 0.43. The probability that a student passes the AP Stats exam given they passed the AP Calculus exam is 0.85. Find the probability that a student passes both exams.

Answer
A
0.3655
B
0.4845
C
0.7544
D
1.3256

Explanation

Use the conditional probability rule: P(Stats and Calculus) = P(Stats given Calculus) × P(Calculus). Substitute the values: 0.85 × 0.43 = 0.3655. Therefore, the probability of passing both exams is 0.3655, choice A.

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