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# A Few Probability Questions

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For a certain group of students, the probability of randomly selecting a student who takes an art class is 41%, the probability of randomly selecting a student who takes a music class is 29%, and the probability of randomly selecting a student who takes both an art and a music class is 18%.

What is the probability of randomly selecting a student who takes an art or music class?

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An experiment involves selecting a numbered chip, some black and some white, from a bag of chips. The probability of selecting a black chip with an odd number is 14 . The probability of selecting a black chip is 23

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What is the probability of selecting a chip with an odd number given that the chip is black?

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A spinner is divided into five equal sections labeled 1, 2, 3, 4, and 5. Another spinner is divided into two equal sections labeled A and B. Nigel will spin each spinner one time.

How many of the possible outcomes have a number less than 3 or an A?

Dec 21, 2017
edited by RedBlue  Dec 21, 2017

#1
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for the top one

70% is most likley

Dec 21, 2017
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An experiment involves selecting a numbered chip, some black and some white, from a bag of chips. The probability of selecting a black chip with an odd number is 1/4 . The probability of selecting a black chip is 2/3

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What is the probability of selecting a chip with an odd number given that the chip is black?

Let P(Black)  =  2/3

Let P(Black and Odd)  = 1/4

And  we are trying to find P( Black and Odd I Black)

So....

P( Black and Odd I  Black)  =  P( Black and Odd)  / P(Black)  =

(1/4)  / (2/3)  =

(1/4) * (3/2)   =

3/8

Dec 21, 2017
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A spinner is divided into five equal sections labeled 1, 2, 3, 4, and 5. Another spinner is divided into two equal sections labeled A and B. Nigel will spin each spinner one time.

How many of the possible outcomes have a number less than 3 or an A?

We have 10  possible outcomes   =  Number Outcomes  * Letter Outcomes  =  5 * 2  = 10

So.....the ones we are interested in are

Outcomes < 3   =  2

Outcomes  = A  =  5

So.......outcomes < 3 or outcomes  = A     =  2  +  5    =   7

Dec 21, 2017