+0

# A Few Probability Questions

+1
106
3
+29

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?

---------

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?

---------

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
edited by RedBlue  Dec 21, 2017
Sort:

#1
+50
0

for the top one

70% is most likley

penquino21  Dec 21, 2017
#2
+80973
+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?

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
+80973
+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

### 14 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details