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You pick a card at random, put it back, and then pick another card at random.12345678What is the probability of picking an odd number and then picking an even number?Write your answer as a decimal rounded to the nearest thousandth.

Question

You pick a card at random, put it back, and then pick another card at random.12345678What is the probability of picking an odd number and then picking an even number?Write your answer as a decimal rounded to the nearest thousandth.

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Solution

The probability of picking an odd number from the set {1,2,3,4,5,6,7,8} is 4/8 or 0.5 because there are 4 odd numbers (1,3,5,7) in the set of 8 numbers.

After putting the card back, the probability of picking an even number from the same set is also 4/8 or 0.5 because there are 4 even numbers (2,4,6,8) in the set of 8 numbers.

Since these are independent events, the probability of both events happening is the product of their individual probabilities. So, the probability of picking an odd number and then an even number is 0.5 * 0.5 = 0.25.

This problem has been solved

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