Question

One person in the restaurant will be picked at random. Based on the given information, which statement is true?

A) This person's favorite meal is twice as likely to be hamburger and french fries as it is to be spaghetti.
B) This person's favorite meal is four times as likely to be chili as it is to be vegetarian delight.
C) This person's favorite meal is more likely to be chili than hamburger and french fries.
D) This person's favorite meal is equally likely to be either vegetarian delight or spaghetti.

Answer 1

To determine which statement is true, we compare the probabilities given in each option: A = 2S, C = 4V, C > A, S = V. Based on this analysis, statement B is true since chili is 4 times as likely as vegetarian delight.

Step-by-step explanation:

To determine which statement is true, we need to compare the probabilities given in each option. Let's assign some variables:

A = probability of favorite meal being hamburger and french fries

S = probability of favorite meal being spaghetti

C = probability of favorite meal being chili

V = probability of favorite meal being vegetarian delight

From option A, we know that A = 2S. From option B, we know that C = 4V. From option C, we know that C > A. From option D, we know that S = V.

Given these variables, let's compare the statements:

Statement A: A = 2S. This means that A is twice as likely as S.

Statement B: If C = 4V, it means that C is 4 times as likely as V.

Statement C: If C > A, it means that C is more likely than A.

Statement D: If S = V, it means that S and V have equal probabilities.

Based on this analysis, statement B is true since C is 4 times as likely as V.