Probability Help

Question

2. There are two No-Cavity bins at a dentist’s office. One bin has two hot-pink toothbrushes and three neon-yellow toothbrushes. The other bin has four packages of sugar-free gum, three grape, and one strawberry. Kira has no cavities. The dentist tells her to close her eyes and choose a prize from each bin.

a. What is the probability that Kira will choose a neon-yellow toothbrush and a pack of grape gum? Draw an area model to support your solution.

Answer 1

In one bin, there are 5 toothbrushes, 2 pink, and 3 neon.

So, the chance of drawing a neon toothbrush will be 3/5 = 0.6 = 60%

 

In the other bin, there are 4 packs of gum, 3 grape, and 1 strawberry.

So, the chance of drawing a pack of grape gum will be 3/4 = 0.75 = 75%

 

Then, the chance of drawing a neon toothbrush and a pack of grape gum will be the product of 0.6 x 0.75 = 0.45 = 45%

 

On this site, we are unable to include figures, so it is not possible to draw an area model, but this information should allow you to do so.