Probability of Compound Events

The letters A, C, and T are each written on a separate card. The cards are selected in a random order. Based on the tree diagram, which is a valid conclusion? Select all that apply.

• The probability of the letters spelling CAT is 1/6.

• The probability that T will be the first letter selected is 1/3.

• The probability that A will be the first letter selected is 1/15.

• The sample space consists of 6 outcomes.

• It is less likely to spell TAC than CAT.

Tags

CCSS.7.SP.C.8B

When rolling two standard number cubes, what is the probability of rolling at least one 6?

• 12/36

• 6/36

• 11/36

• 1/36

Mikala makes a sandwich. She randomly chooses between white and rye bread. Then she randomly chooses between ham, turkey, and pepperoni. Finally, she randomly chooses between American and Swiss cheese. The tree diagram displays her possible options. Which conclusions about the probability of the sandwich Mikala chooses are true?

• The probability that Mikala chooses a sandwich with rye bread is 1/3.

• The probability that Mikala chooses a sandwich with turkey is less than the probability that Mikala chooses a sandwich with ham.

• The probability that Mikala chooses a sandwich with white bread is equal to the probability that Mikala chooses a sandwich with Swiss Cheese.

• The probability that Mikala choses a sandwich with white bread, pepperoni, and American cheese is 1/12.

Tags

CCSS.7.SP.C.8B

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?

• 1/4

• 1/2

• 2/4

• 3/4

Tags

CCSS.7.SP.C.8B

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling an even number and flipping a head?

• ³/₁₂
• ¹/₂
• ⁴/₁₂
• ⁰/₁₂

Tags

CCSS.7.SP.C.8B

What is the probability that you will get plain crust with ham on your pizza?

• 1/8

• 1/₂

• 1/₁₀

• 2/₁₀

Tags

CCSS.7.SP.C.8B

The sample space tree diagram for a team of three students is shown.  What is the probability that the team would consist of at least 2 girls?

• ½
• ⅜
• ¾
• ⅙

Tags

CCSS.7.SP.C.8B

• 1/2
• 1/8
• 1/3
• 1/12

• 1/4
• 1/8
• 1/2
• 1/6

Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green?

• 1 / 16
• 1 ⁄ 6
• 1 ⁄ 8
• 3 ⁄ 4