7th 7-6 Probabilities of Compound Events

The organized list shows all the possible outcomes when three fair coins are flipped. The possible outcomes of each flip are heads​ (H) and tails​ (T). What is the probability that exactly 1 fair coin lands heads up when 3 are​ flipped?

• 1/4

• 3/8

• 1/2

• 5/8

The table shows the possible outcomes of spinning the given spinner and tossing a fair coin. Find the probability of​ P(1,H).

• 1/10

• 1/5

• 1/4

• 1/2

You have been asked to flip a coin for heads or tails and then select a golf ball from a bucket that contains 2 yellow golf balls and 5 white golf balls. List the possible outcomes in the sample space.

• ​{HW1, HW2,​ HY1, HY2,​ HY3, HY4,​ HY5, TW1,​ TW2, TY1,​ TY2, TY3,​ TY4, TY5}

• ​{HY1, HY2,​ HW1, HW2,​ HW3, HW4,​ HW5, TY1,​ TY2, TW1,​ TW2, TW3,​ TW4, TW5}

• ​{HY, HW,​ TY, TW}

You have been asked to flip a coin for heads or tails and then select a golf ball from a bucket that contains 2 yellow golf balls and 5 white golf balls. What is the probability you get tails and select a white golf​ ball?

• 1/14

• 3/14

• 5/14

• 1/2

The tree diagram shows all the possible varieties of a​ T-shirt available in​ small, medium, and large and in the colors blue and yellow. What is the probability that a medium​ T-shirt or a yellow​ T-shirt is randomly​ selected?

• 1/6

• 1/3

• 1/2

• 2/3

You and your friend are ordering a two topping pizza. You ask the salesperson for two random different toppings. Find the probability of you getting a pizza with mushrooms and peppers.

• 1/6

• 1/4

• 5/12

• 1/2

You ask the salesperson at a pizza place to give you a pizza with any two​ toppings, but the toppings must be different. The choices are shown in the table. Use a table to show the sample space. Then find the probability of getting a pizza with broccoli and olives.

• 1/30

• 1/15

• 3/30

• 3/5

All possible outcomes of spinning the pointers of two spinners with​ equal-sized sections labeled 1 through 3 are recorded in the table. Find the probability that the sum of the numbers shown on each spinner will be greater than or equal to 5.

• 1/3

• 4/9

• 1/9

• 2/3

Draw a tree diagram for choosing a vowel​ (a, e,​ i, o,​ u) and then a number (1 or 2).

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• 
• 
• 

Draw a tree diagram for choosing a vowel​ (a, e,​ i, o,​ u) and then a number (1 or 2). Use the diagram to find the probability of choosing e and 2.

• 1/5

• 1/10

• 3/10

• 2/5