Question

Asked Sep 27, 2019

Giving a test to a group of students, the grades and gender are summarized below

If one student is chosen at random,

Find the probability that the student was female OR got an "B". (give a simplified fraction)

A | B | C | Total | |

Male | 15 | 19 | 5 | 39 |

Female | 2 | 11 | 20 | 33 |

Total | 17 | 30 | 25 | 72 |

If one student is chosen at random,

Find the probability that the student was female OR got an "B". (give a simplified fraction)

Step 1

We are given data,

Step 2

We have to find,

If one student is chosen, what will be the probability that the student was female OR got an "B"?

There are 33 females total (row3, total column) and 30 people who got a B (look at the bottom of the B column).

So there are 33+30 = 63 people who either are female or got a B.

We need to subtract off the 11 females who got B's. Because it will not take double-counting.

Step 3

So there are 63-11 = 52 people who got a B, they are female, or they are females who got a B grade.

At this point, we are not double coun...

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