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

Answer:

$\boxed {\boxed {\sf \frac{5}{6} \ or \ 0.833}}$

Step-by-step explanation:

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

$P=\frac{favorable \ outcomes}{total \ outcomes}$

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

$P( \ not \ black \ jelly \ bean)=\frac{not \ black \ jelly \ beans}{all \ jelly \ beans}$

• 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)

$P( not \ black \ jelly \ bean )=\frac{10}{12}$

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

$P(not \ black \ jelly \ bean)=\frac{10/2}{12/2}$

$P(not \ black \ jelly \ bean)=\frac{5}{6}$

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