Question

A class consists of 35 girls and 45 boys,9 girls and 17 boys of the class take mathematics as their optional subject what is the probability that a student selected at random from the class is a boy or takes mathematics?

Answer #1

The table given below ,

Takes Mathematics | Does not Takes Mathematics | Total | |

Boys | 17 | 28 | 45 |

Girls | 9 | 26 | 35 |

Total | 26 | 54 | 80 |

Let , A be the event that the student is a boy and B be the event that the students takes Mathematics as their optional subject.

Also , let , be the event that the students is boy and he takes Mathematics as their optional subject.

Now , given that n(A)=45 , n(B)=26 ,

Therefore ,

Therefore , by using addition rule ,

Therefore , the probability that a student selected at random from the class is a boy or takes mathematics is 0.6750

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