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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?
The probability of choosing a can of tomato soup on the first draw is 2/10, since there are 2 cans of tomato soup out of a total of 10 cans.
After putting the tomato soup back, the probability of choosing a can of cheese soup on the second draw is 2/10, since there are 2 cans of cheese soup out of a total of 10 cans.
Therefore, the overall probability of choosing a can of tomato soup and then a can of cheese soup is (2/10) * (2/10) = 4/100 = 1/25 = 0.04 or 4%.