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 6 and then picking an 8?

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 6 and then picking a 7?

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(6). There are 4 cards, numbered 4, 5, 6, and 7.

P(6)

Now find the probability of picking the 7 once you have already picked the 6.

After you have picked the 6, the following cards will remain:

There are 3 cards remaining. One of those cards is the 7.

Find the probability of picking a 6 and then picking a 7. Multiply P(6) by P(7).

P(6) x P(7)

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