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?

(Answer as a percentage please)

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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

.

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

(Answer as a simplified fraction please)

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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?

RedBlue
Dec 21, 2017

#2**+1 **

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

.

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

(Answer as a simplified fraction please)

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

CPhill
Dec 21, 2017

#3**+1 **

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

CPhill
Dec 21, 2017