IXL - Probability of independent and dependent events (Algebra 2 practice)

You pick a card at random, put it back, and then pick another card at random.

What is the probability of picking a number less than 7 and then picking a number greater than 7?

Simplify your answer and write it as a fraction or whole number.

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question

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 even number?

Simplify your answer and write it as a fraction or whole number.

key idea

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

solution

Find P(6). There are 3 cards, numbered 5, 6, and 7.

P(6)

Now find the probability of picking an even number once you have already picked the 6.

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

There are 2 cards remaining. None of those cards is an even number.

After
you
have
picked
the
6,
the
probability
of
picking
an
even
number
is
0
.

Find the probability of picking a 6 and then picking an even number. Multiply P(6) by P(even).

P(6) x P(even)

Write your answer in simplest form.

The probability of picking a 6 and then picking an even number is 0.

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Not feeling ready yet? These can help:

JJ.1Probability of simple events

KK.6Identify independent and dependent events

G.8Multiply fractions

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