Lesson 7-3 Independent/Dependent Events

Lesson 7-3 Independent & Dependent Events

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Example

of Independent Events

Poll

A six-sided cube is labeled with the numbers 1, 2, 2, 3, 3, and 3. Four sides are colored red, one side is white, and one side is yellow. Find the probability. Tossing Red, then White, then Yellow.

• $$\frac{1}{8}$$

• $$\frac{1}{18}$$

• $$\frac{1}{27}$$

• $$\frac{1}{54}$$

Multiple Choice

What is the probability of rolling a 6 on two number cubes?

• $$\frac{1}{4}$$

• $$\frac{1}{9}$$

• $$\frac{1}{36}$$

Multiple Choice

What is the probability of tossing a coin 3 times and tossing heads, then heads, then tails

• $$\frac{1}{2}$$

• $$\frac{1}{8}$$

• $$\frac{1}{16}$$

Two number cubes are rolled–one white and one yellow. Explain why the events are dependant. Then find the indicated probability. The white cube shows a 6 and the sum is greater than 9.

Two cards are drawn from a deck of 52. Determine whether the events are independent or dependent. Find the probability.

Poll

a queen is drawn, is not replaced, and then a king is drawn

• $\frac{2}{335}$

• $\frac{4}{645}$

• $\frac{4}{663}$

Poll

A bag contains 10 beads—2 black, 3 white, and 5 red. A bead is selected at random. Selecting a white bead, replacing it, and then selecting a red bead.

• Dependent

• Independent

Independent

Replacing the white bead means that the probability of the second selection will not change so the events are independent.

Multiple Choice

A bag contains 10 beads: 2 black, 3 white, and 5 red. What is the probability of selecting a white bead, replacing it, and then selecting a red bead

• $$\frac{3}{10}$$

• $$\frac{15}{100}$$

• $$\frac{3}{20}$$

• $$\frac{3}{25}$$

Poll

A bag contains 10 beads - 3 white, 2 black, and 5 red. What is the probability of selecting a white bead, not replacing it, and then selecting a red bead

• Dependent

• Independent

Dependent

By not replacing the white bead the probability of the second selection has changed so the events are dependent.

Multiple Choice

A bag contains 10 beads - 3 white, 2 black, and 5 red. What is the probability of selecting a white bead, not replacing it, then selecting a red bead

• $$\frac{1}{6}$$

• $$\frac{1}{8}$$

• $$\frac{1}{10}$$

Fill in the Blanks

Find the probability of rolling a number greater than 2 and then rolling a multiple of 3 when a number cube is rolled twice. Enter fraction

Multiple Choice

A drawer contains 8 blue socks, 8 black socks, and 4 white socks. Socks are picked at random. Is picking a blue sock, then a blue sock dependent or independent?

• Dependent

• Independent

Fill in the Blanks

A drawer contains 8 blue socks, 8 black socks, and 4 white socks. Socks are picked at random. What is the probability of selecting a blue sock, then a blue sock. Enter answer as a fraction