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Gabriel has these cans of soup in his kitchen cabinet. • 2 cans of tomato soup • 3 cans of chicken soup • 2 cans of cheese soup • 2 cans of potato soup • 1 can of beef soup Gabriel will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of tomato soup and then a can of cheese soup? Mathematics

2 Answers

3 votes

Final answer:

The probability that Gabriel will choose a can of tomato soup and then a can of cheese soup is 1/4.

Step-by-step explanation:

To find the probability that Gabriel will choose a can of tomato soup and then a can of cheese soup, we need to determine the total number of possible outcomes and the number of favorable outcomes.

There are 2 cans of tomato soup and 2 cans of cheese soup, so the total number of outcomes is 2 * 2 = 4.

The favorable outcome is choosing a can of tomato soup first, which has a probability of 2/4, and then choosing a can of cheese soup, which also has a probability of 2/4.

To find the probability of both events happening, we multiply the probabilities together: (2/4) * (2/4) = 1/4.

Therefore, the probability that Gabriel will choose a can of tomato soup and then a can of cheese soup is 1/4.

User Roger Rowland
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7.8k points
5 votes

Answer:

I think the answer is 1/25

Hope this is a right answer! ^_^

User Gregor Koukkoullis
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7.3k points