Is the statement correct? Joanne, a high school senior, has applied for admissio

Question

Is the statement correct?

Joanne, a high school senior, has applied for admission to four colleges, A, B, C, and D. She has estimated that the probability that she will be accepted for admission by college A, B, C, and D is 0.5, 0.3, 0.1, and 0.09, respectively. Thus, the probability that she will be accepted for admission by at least one college is  P(A) + P(B) + P(C) + P(D) = 0.5 + 0.3 + 0.1 + 0.09 = 0.99.

Correct, because P(A) + P(B) + P(C) + P(D) = 0.99.

Incorrect, because P(A) + P(B) + P(C) + P(D) 1.

Incorrect, because the probabilities should be multiplied instead of added.

Incorrect, because she forgot to divide by four to find the average.

Incorrect, because these events are not mutually exclusive.

Explanation / Answer

This statement is incorrect, because these events are not mutually exclusive. She can be accepted by more than one college at once.

Option E is correct.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.