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AlladinOne [14]
2 years ago
14

A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books. What is the probability

one of them is mathematics and other two are either physics or history books
Mathematics
1 answer:
Gnesinka [82]2 years ago
8 0

Answer:

Probability that one of them is mathematics and other two are either physics or history books = 0.51

Step-by-step explanation:

Given - A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.

To find - What is the probability one of them is mathematics and other two are either physics or history books ?

Solution -

Given that,

A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.

So,

Total number of books = 3 + 3 + 1 = 7

The student has to select 3 books

So, Total number of ways = ^{7} C_{3} = 35

So,

Probability that one of them is mathematics and other two are either physics or history books is -

= \frac{^{3} C_{1}. ^{4} C_{2}  }{^{7} C_{3}}

= \frac{(3)(6)}{35}

= \frac{18}{35}

= 0.51

⇒Probability that one of them is mathematics and other two are either physics or history books = 0.51

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