Question

A bag contains 5 blue balls, 4 red balls, and 3 orange balls. If a ball is picked from the bag at random, what is the probability that it is a blue ball?

Answers have been rounded to the tenths place.
A
0.5
B.
0.4
O C.
0.3
OD. 0.2​

Answer 1

`p =(Possible)/(Total)`

Where possible represent the possible cases on this case 5 since we have 5 balls and the total is the size of the sample space on this case 12. And replacing we got:

`p =(5)/(12)= 0.417`

And rounded to the tenths place we got:

`p=0.4`

And the best answer is:

B. 0.4

Explanation:

For this case the size of the sampel space is 5+4+3= 12 representing the total of balls used.

We select a random ball from the total and we want to find the probability of selecting a blue ball. And for this case the can use the empirical definition of probability from Laplace given by:

`p =(Possible)/(Total)`

Where possible represent the possible cases on this case 5 since we have 5 balls and the total is the size of the sample space on this case 12. And replacing we got:

`p =(5)/(12)= 0.417`

And rounded to the tenths place we got:

`p=0.4`

And the best answer is:

B. 0.4