Question

A UCons student goes to the library. Let event B - (the student eheoke out a beok) ad let D = (the student check out a DVD). Suppose 523 of veoki studenta go to the Aibrary to eheck out a book, 218 go to the 11brary to oheok out a DVp, and 90 go to the library to oheok out both a book and bvp. Calculate the probability that a randonly chen sen student goes to the 1 ibrary to oheek out a book or a bvD.

rho(B)=52%0rho(D)−21v
rho( BoD)=9%0
rho(B or D)=P(B)+rho(D)−rho(B ond D)
rho(B∘D)=52+21−9
P(B∘D)=64​
9) A CT high sohool han 200 graduating seniors, Suppose that 140 of the seniors will be ping to college next Yeax, 40 will be going directly to work, and the remainder are king a gap year. Suppose further, that 50 of the seniors going to college play sports,

Answer 1

The probability that a student goes to the library to check out a book or a DVD can be calculated using the formula P(B or D) = P(B) + P(D) - P(B and D). Given the values P(B) = 0.40, P(D) = 0.30, and P(B and D) = 0.20, the probability is 0.50.

Step-by-step explanation:

The probability that a randomly chosen student goes to the library to check out a book or a DVD can be calculated using the formula P(B or D) = P(B) + P(D) - P(B and D).

Given that P(B) = 0.40, P(D) = 0.30, and P(B and D) = 0.20, we can substitute these values into the formula and calculate the probability:

P(B or D) = 0.40 + 0.30 - 0.20 = 0.50