IXL | Probability of dependent events

You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking a 5 and then picking a 6?

Write your answer as a fraction or whole number.

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Learn with an example

You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking a 1 and then picking a 1?

Write your answer as a fraction or whole number.

The probability is the number of favorable outcomes out of the number of possible outcomes.

Find P(1). There are 4 cards, numbered 1, 2, 3, and 4.

P(1)

Now find the probability of picking a 1 once you have already picked the 1.

After you have picked the 1, the following cards will remain:

There are 3 cards remaining. None of those cards is the 1.

Find the probability of picking a 1 and then picking a 1. Multiply P(1) by P(1).

P(1) x P(1)

Write your answer in simplest form.

The probability of picking a 1 and then picking a 1 is 0.

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