Question

Marissa selects a card in a hat, notes which color it is, returns the card to the hat, and repeats. The results of 70 trials are 12 red cards, 38 green cards, and 20 purple cards. What are the experimental probabilities of selecting each color, based on these results?

Probability of selecting a red card=
Probability of selecting a green card=
Probability of selecting a purple card=

Answer 1

Red=17.1%

Green=54.3%

Purple=28.6%

All of these answers are rounded.

Explanation:

To solve for all, all you have to do is divide the number of trials of the specific color by the total number of trials. To get a percentage you then multiply by 100%.

Red:

12/70=0.171*100%=17.1%

Green:

38/70=0.543*100%=54.3%

Purple:

20/70=0.286*100%=28.6%

To check if you've rounded correctly, add all your values and they should add up to 100 exactly. If it is slightly over or below you may need to go back and check for a rounding error.