Conditional Probability

Lesson 8 Conditional Probability

Multiple Choice

Jada rolls one standard number cube, then she rolls another standard number cube.

What is the probability that she rolls a 5 on both number cubes?

• $$\frac{1}{6}$$

• $$\frac{2}{6}$$

• $$\frac{2}{36}$$

• $$\frac{1}{36}$$

Multiple Choice

Jada rolls one standard number cube, then she rolls another standard number cube.

What is the probability that the second roll is a 5 under the condition that the first roll is a 6?

• $$\frac{1}{6}$$

• $$\frac{2}{6}$$

• $$\frac{2}{36}$$

• $$\frac{1}{36}$$

Multiple Choice

Jada rolls one standard number cube, then she rolls another standard number cube.

What is the probability that the second roll is a 5 under the condition that the first roll is a 5?

• $$\frac{1}{6}$$

• $$\frac{2}{6}$$

• $$\frac{2}{36}$$

• $$\frac{1}{36}$$

Multiple Choice

Jada rolls one standard number cube, then she rolls another standard number cube.

What is the probability that the second roll is not a 5?

• $$\frac{5}{6}$$  

• $$\frac{2}{6}$$

• $$\frac{5}{36}$$

• $$\frac{1}{36}$$

Multiple Choice

Jada rolls one standard number cube, then she rolls another standard number cube.

What is the probability that the first roll is a 5 and the second roll is not a 5?

• $$\frac{5}{6}$$  

• $$\frac{2}{6}$$

• $$\frac{25}{36}$$

• $$\frac{5}{36}$$

Multiple Choice

There are four slices of pizza left to choose from. Each slice of pizza has one topping. Three of the slices have sausage as a topping and the fourth slice has pepperoni as a topping. Kiran randomly selects one slice then Mai randomly selects one slice. What is the probability that Mai selects a slice of pepperoni pizza under the condition that Kiran selects a slice of sausage pizza?

• $$\frac{1}{3}$$

• $$\frac{1}{4}$$

• $$\frac{2}{3}$$

• $$\frac{2}{4}$$

Open Ended

Multiple Choice

Each of the letters A through F are written on slips of paper and placed in a hat. Priya selects a slip of paper at random and then replaces it. Noah then selects a slip of paper at random.

What is the probability that Priya selects a slip of paper labeled A?

• $$\frac{1}{6}$$

• $$\frac{1}{5}$$

• $$\frac{2}{6}$$

• $$\frac{2}{5}$$

Multiple Choice

Each of the letters A through F are written on slips of paper and placed in a hat. Priya selects a slip of paper at random and then replaces it. Noah then selects a slip of paper at random.

What is the probability that Noah selects a slip of paper labeled A?

• $$\frac{1}{6}$$

• $$\frac{1}{5}$$

• $$\frac{2}{6}$$

• $$\frac{2}{5}$$

Multiple Choice

Each of the letters A through F are written on slips of paper and placed in a hat. Priya selects a slip of paper at random and then replaces it. Noah then selects a slip of paper at random.

What is the probability that both Priya and Noah select a paper labeled A?

• $$\frac{1}{6}$$

• $$\frac{1}{5}$$

• $$\frac{2}{6}$$

• $$\frac{1}{36}$$

Multiple Choice

Each of the letters A through F are written on slips of paper and placed in a hat. Priya selects a slip of paper at random and then replaces it. Noah then selects a slip of paper at random.

Are the events of Priya selecting a paper and Noah selecting a paper dependent or independent?

• Independent

• Dependent

Multiple Choice

The Wildcats have won approximately 80% of their 20 basketball games this season. The Wildcats won 5 of the 8 games they played when Elena started the game. Are the events “the Wildcats win the game” and “the Wildcats win the game when Elena started the game” dependent or independent events? Explain your reasoning.

• Inependent

• Dependent

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