108k views
3 votes
A vending machine has 5 colors (white, red, green, blue, and yellow) of gumballs and an equal chance of dispensing each.

A second machine has 4 different animal-shaped rubber bands (lion, elephant, horse, and alligator) and an equal chance
of dispensing each. If you buy one item from each machine, what is the probability of getting a yellow gumball and a lion
band? (ANSWER FASTT PLESEE)!

User ZOlive
by
6.6k points

1 Answer

7 votes

Answer in fraction form = 1/20

Answer in decimal form = 0.05

Answer in percent form = 5%

These are three ways to express the same thing

=============================================================

Step-by-step explanation:

Assume the gumball machine only has 5 gumballs, one of each color. The probability of getting yellow is 1/5 since there is one that is yellow out of 5 total.

The probability of getting a lion rubber band is 1/4 for similar reasoning as above.

Because the two events (getting yellow, getting a lion) are independent, this means we can multiply the two probabilities to get (1/5)*(1/4) = 1/20

Use your calculator to see that 1/20 = 0.05 which converts to 5% when you move the decimal point over 2 spots to the right.

User Vishal Akkalkote
by
6.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.