Brie's cabinet has 6 cans of vegetable soup,4 cans of chicken soup, and 8 cans of beef barley soup. She will pick a can of soup from the cabinet at random.
1. What is the probability brie will pick a can of vegetable soup? Write your answer in ratio from.
2. What is the probability of picking a can that is not chicken soup? Write your answer as a fraction in lowest terms.
1. 6/(6+4+8) = ?
2. (6+8)/(6+4+8) = ?
1. To find the probability of Brie picking a can of vegetable soup, we need to determine the total number of possible outcomes and the number of favorable outcomes.
The total number of possible outcomes is the sum of the number of cans of each type of soup in the cabinet: 6 cans of vegetable soup + 4 cans of chicken soup + 8 cans of beef barley soup = 18 cans.
The number of favorable outcomes is the number of cans of vegetable soup in the cabinet, which is 6 cans.
Therefore, the probability of Brie picking a can of vegetable soup is 6/18. To write this as a simplified ratio, we can divide both the numerator and the denominator by their greatest common divisor, which is 6. So, the probability can be written as 1/3.
2. To find the probability of picking a can that is not chicken soup, we need to determine the number of cans that are not chicken soup and divide it by the total number of cans.
The number of cans that are not chicken soup is the sum of the number of cans of vegetable soup and the number of cans of beef barley soup: 6 cans of vegetable soup + 8 cans of beef barley soup = 14 cans.
The total number of cans is still 18 cans.
Therefore, the probability of picking a can that is not chicken soup is 14/18. To write this as a fraction in the lowest terms, we can divide both the numerator and the denominator by their greatest common divisor, which is 2. So, the probability can be written as 7/9.