Question

You have a bag with 12 jelly beans in it 4 red 2 black 5 yellow and 1 pink what is the probability of not picking a black one

Answer 1

10:12. or 83.3%. so you have a 10 in 12 chance to not get a black one.

Answer 2

`\boxed {\boxed {\sf (5)/(6) \ or \ 0.833}}`

Explanation:

Probability can be found by dividing the favorable outcomes by the total outcomes.

`P=(favorable \ outcomes)/(total \ outcomes)`

In this problem, a favorable outcome is not picking a black jelly bean. The total outcomes is the total number of jelly beans.

`P( \ not \ black \ jelly \ bean)=(not \ black \ jelly \ beans)/(all \ jelly \ beans)`

• There are 10 jelly beans that are not black (4 red+5 yellow + 1 pink =10)
• There are 12 total jelly beans (4 red+ 2 black+ 5 yellow + 1 pink= 12)

`P( not \ black \ jelly \ bean )=(10)/(12)`

This fraction can be reduced. Both the numerator and denominator can be divided by 2.

`P(not \ black \ jelly \ bean)=(10/2)/(12/2)`

`P(not \ black \ jelly \ bean)=(5)/(6)`

Probabilty can also be written as a decimal.

`P(not \ black \ jelly \ bean)=0.833`

The probabilty of not picking a black jelly bean is 5/6 or 0.833