Maharashtra State BoardHSC Arts 11th
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Select the correct option from the given alternatives : There are 2 shelves. One shelf has 5 Physics and 3 Biology books and the other has 4 Physics and 2 Biology books. The probability of drawing a - Mathematics and Statistics

MCQ

Select the correct option from the given alternatives :

There are 2 shelves. One shelf has 5 Physics and 3 Biology books and the other has 4 Physics and 2 Biology books. The probability of drawing a Physics book is

Options

  • `9/14`

  • `31/48`

  • `9/38`

  • `1/2`

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Solution

`31/48`

Explanation:

Let event S1: First shelve is selected.

event S2: Second shelve is selected.

event P: Drawing a physics book.

∴ P(S1) = `1/2` and P(S2) = `1/2` 

First shelve has 5 physics and 3 biology books, i.e., total of 8 books.

∴ `"P"("P"/"S"_1) = (""^5"C"_1)/(""^8"C"_1) = 5/8`

Similarly, `"P"("P"/"S"_2) = (""^4"C"_1)/(""^6"C"_1) = 4/6 = 2/3`

∴ P(P) = `"P"("S"_1)*"P"("P"/"S"_1) + "P"("S"_2)*"P"("P"/"S"_2)`

= `1/2 xx 5/8 + 1/2 xx 2/3`

= `31/48`

Concept: Concept of Probability
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 9 Probability
Miscellaneous Exercise 9 | Q I. (5) | Page 213
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