A physics class has 40 students. Of these, 15 students are physics majors and 17 students...

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A physics class has 40 students. Of these, 15 students are physics majors and 17 students...

A physics class has 40 students. Of these, 15 students are physics majors and 17 students are female. Of the physics majors, six are female. Find the probability that a randomly selected student is female or a physics major.

The probability that a randomly selected student is female or a physics major is

nothing

.

(Round to three decimal places as needed.)

math Statistics-And-Probability

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Answer 1

Answer #1

Siolution:
General addition rule for any two events:
P(A or B) = P(A) + P(B) - P(A and B)

15 of the 40 students are physics majors = 15/40 = 0.375

17 of the 40 students are female = 17/40 = 0.425

06 of the 40 students are physics majors and female = 6/40 = 0.150

The probability that a randomly selected student is female or a physics major is 0.650

= 0.375 + 0.425 - 0.15 = 0.650

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Answer 2

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