Multiple Choice

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

It is more likely than drawing a piece of dried fruit.
It is more likely than drawing a piece of dried fruit.

It is less likely than drawing a piece of dried fruit.
It is less likely than drawing a piece of dried fruit.

It is more likely than drawing a peanut.
It is more likely than drawing a peanut.

It is less likely than drawing a peanut. ..........

1 answer

To answer the question accurately, we need to know the fractions of the bag that are peanuts, chocolate candies, and dried fruit. However, it seems like those fractions are not fully provided in your message.

Typically, if one half of the bag is peanuts and a certain fraction is allocated to chocolate candies and dried fruit, we can make some general assumptions.

If we assume:

  • Peanuts = 1/2 of the bag
  • Chocolate candies = X (which should be less than or equal to 1/2)
  • Dried fruit = Y (which would also be less than or equal to 1/2)

If both chocolate candies and dried fruit share the other half of the bag (1/2 = X + Y), then the likelihood of drawing a chocolate candy would depend on the specific values of X and Y.

Based purely on typical proportions (for example, if we assume chocolate candies and dried fruit are each 1/4 of the bag), we could say:

  • Chocolate candies: 1/4
  • Dried fruit: 1/4
  • Peanuts: 1/2

In this scenario, the likelihood of drawing a chocolate candy (1/4) would be less than the likelihood of drawing peanuts (1/2), but equal to the likelihood of drawing dried fruit (1/4).

However, without specific fractions for chocolate candies and dried fruit, the best conclusion cannot be definitively drawn.

Since you provided options regarding likelihood but did not specify the fractions, any of the options could technically be correct depending on the unknown proportions of chocolate candies and dried fruit. You would need to analyze the options based on those specific proportions.

If it's assumed that the dried fruit and chocolate candies each are a quarter of the bag, then the correct completion could be:

It is less likely than drawing a peanut.

Please provide the missing fractions for a more precise answer!

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