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

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MrRoyal

Answer:

[tex]P(Female\ or\ Physics) = 0.38[/tex]

Step-by-step explanation:

Given

[tex]n = 50[/tex] --- total

[tex]Physics =10[/tex]

[tex]Female= 12[/tex]

[tex]Both = 3[/tex]

Required

[tex]P(Female\ or\ Physics)[/tex]

This is calculated as:

[tex]P(Female\ or\ Physics) = P(Female) + P(Physics) - P(Both)[/tex]

So, we have:

[tex]P(Female\ or\ Physics) = \frac{Female+ Physics - Both}{n}[/tex]

[tex]P(Female\ or\ Physics) = \frac{10+ 12- 3}{50}[/tex]

[tex]P(Female\ or\ Physics) = \frac{19}{50}[/tex]

[tex]P(Female\ or\ Physics) = 0.38[/tex]

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