Math 7 - Exploring Compound Probability

A bag contains 3 red marbles and 2 blue marbles. If you pick one marble, replace it, and then pick another marble, what is the probability that both marbles are red?

Which of the following is a correct sample space for tossing two coins?

A spinner has 4 equal sections labeled 1, 2, 3, and 4. What is the probability of spinning a 2 and then a 4 in two spins (with replacement)?

Which of the following tree diagrams correctly represents flipping a coin and then rolling a die?

• Two branches for coin, each with six branches for die outcomes

• Six branches for die, each with two branches for coin outcomes

• One branch for coin, one for die

• Three branches for coin, six for die

If you roll two standard six-sided dice, what is the probability that both dice show a 6?

A box contains 5 green and 3 yellow balls. If you pick one ball, replace it, and pick another, what is the probability that both are yellow?

Which sample space table correctly represents the outcomes of rolling a red die and a blue die?

• A 6x6 table with each cell showing a pair (red, blue) from 1 to 6

• A 2x2 table with numbers 1 and 2

• A 6x1 table with numbers 1 to 6

• A 3x3 table with numbers 1 to 3

If you flip a coin three times, what is the probability of getting heads all three times?

Which of the following is the correct organized list for the outcomes of tossing two different coins?