Mastering Compound Probability with Fun Scenarios

A bag contains 3 red, 2 blue, and 5 green marbles. If you randomly select one marble and then another without replacement, what is the probability that both marbles are red?

• 1/10

• 1/5

• 2/15

• 1/15

In a class, 4 students play soccer and 6 students play basketball. If one student is chosen at random, what is the probability that the student plays either soccer or basketball?

• 0.75

• 1

• 2

• 0.5

A spinner has 4 equal sections: red, blue, green, and yellow. If you spin the spinner twice, what is the probability of landing on blue both times?

• 1/8

• 1/16

• 1/2

• 1/4

A restaurant offers 3 types of sandwiches and 2 types of drinks. If a customer orders one sandwich and one drink, what is the probability that they choose a turkey sandwich and a soda?

• 1/6

• 1/4

• 1/2

• 1/3

In a deck of cards, what is the probability of drawing a heart and then drawing a spade without replacement?

• 1/8

• 1/4

• 1/2

• 1/16

A school is conducting a survey on favorite sports. If 5 students like soccer, 3 like basketball, and 2 like baseball, what is the probability that a randomly selected student likes either soccer or basketball?

• 0.5

• 0.9

• 0.8

• 0.6

A box contains 4 red balls and 6 blue balls. If you draw one ball, replace it, and then draw again, what is the probability of drawing a red ball both times?

• 1/5

• 3/10

• 2/15

• 4/25

In a game, you can roll a die and flip a coin. What is the probability of rolling a 4 and getting heads?

• 1/4

• 1/12

• 1/8

• 1/6

A fruit basket contains 2 apples, 3 bananas, and 5 oranges. If you randomly select one fruit and then another without replacement, what is the probability that both fruits are bananas?

• 1/15

• 1/5

• 1/10

• 2/15

A survey shows that 60% of students prefer chocolate ice cream and 40% prefer vanilla. If you randomly select two students, what is the probability that both prefer chocolate?

• 0.80

• 0.50

• 0.24

• 0.36