115k views
24 votes
3. Ms. Vallejo has these cans of soup in her cabinet.

• 2 cans of tomato soup
• 4 cans of chicken soup
• 3 cans of cheese soup
• 2 cans of beef soup
Ms. Vallejo will randomly choose one can of soup. Which statement
is true?
A. The soup is more likely to be tomato than chicken soup
B. The soup is less likely to be cheese than beef soup
C. The probability that the soup will be chicken is less than the
probability that the soup will be cheese.
•D. The soup is equally likely to be tomato or beef soup

User Legeo
by
3.5k points

2 Answers

10 votes

Answer:

D

Explanation:

It cannot be A- there is more chicken soup than tomato, so that would not make sense

It also cant be B because there is more cheese than beef soup as well

Cant be C because there is more chicken soup than cheese

Hope i helped! Have a good day :)

User Prakash Reddy
by
3.9k points
10 votes

Answer:

  • D. The soup is equally likely to be tomato or beef soup

Explanation:

Given cans of soup:

  • 2 cans of tomato soup
  • 4 cans of chicken soup
  • 3 cans of cheese soup
  • 2 cans of beef soup

Total number of cans:

  • 2 + 4 + 3 + 2 = 11

Probability of each type of soup can:

  • P(Tomato) = 2/11
  • P(Chicken) = 4/11
  • P(Cheese) = 3/11
  • P(Beef) = 2/11

The answer choices:

A. The soup is more likely to be tomato than chicken soup

  • 2/11 > 4/11, False

B. The soup is less likely to be cheese than beef soup

  • 3/11 < 2/11, False

C. The probability that the soup will be chicken is less than the

probability that the soup will be cheese.

  • 4/11 < 3/11, False

D. The soup is equally likely to be tomato or beef soup

  • 2/11 = 2/11, True
User Kusalananda
by
4.1k points