Choose the answer that best completes the statement. I have a bag of trail mix. One half of the bag is peanuts, 1/4 of the bag is chocolate candies, and 1/4 of the bag is dried fruit. What is the likelihood of drawing a chocolate candy?

Question

A. it is more likely then drawing a piece of dried fruit
B. it is less likely than drawing a piece of dried fruit
C. it is more likely than drawing a peanut
D. it is less likely than drawing a peanut

Answer 1

To determine the likelihood of drawing a chocolate candy from the bag of trail mix, we analyze the composition of the bag:

• Peanuts: 1/2 of the bag
• Chocolate candies: 1/4 of the bag
• Dried fruit: 1/4 of the bag

Now we can compare the likelihood of drawing a chocolate candy to the likelihood of drawing dried fruit and peanuts:

• The likelihood of drawing a chocolate candy (1/4) is equal to the likelihood of drawing dried fruit (1/4).
• The likelihood of drawing a chocolate candy (1/4) is less than the likelihood of drawing peanuts (1/2).

Based on this analysis, we can conclude that:

A. it is more likely than drawing a piece of dried fruit - Incorrect (equal likelihood) B. it is less likely than drawing a piece of dried fruit - Incorrect (equal likelihood) C. it is more likely than drawing a peanut - Incorrect (less likely) D. it is less likely than drawing a peanut - Correct

The best answer is: D. it is less likely than drawing a peanut.