Exploring Compound Probability Events

A bag contains 3 red marbles and 2 blue marbles. If you pick two marbles one after the other without replacement, what is the probability that both marbles are red?

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

You roll a standard six-sided die and flip a coin. What is the probability of getting a 4 and heads?

Which tree diagram correctly represents the outcomes of flipping a coin twice?

• First flip: H or T; Second flip: H or T for each branch

• First flip: H only; Second flip: T only

• First flip: T only; Second flip: H only

• First flip: H or T; Second flip: H only

Tags

CCSS.7.SP.C.8B

If you spin a spinner with 4 equal sections (numbered 1 to 4) and roll a die, what is the probability of getting a 2 on the spinner and an even number on the die?

Which of the following is an organized list of all possible outcomes when choosing a shirt (red, blue) and pants (jeans, shorts)?

• red-jeans, red-shorts, blue-jeans, blue-shorts

• red, blue, jeans, shorts

• jeans-red, shorts-blue

• red-jeans, blue-shorts

Tags

CCSS.7.SP.C.8B

A simulation is run 100 times to estimate the probability of drawing two black cards in a row from a standard deck (without replacement). If it happens 6 times, what is the estimated probability?

Tags

CCSS.7.SP.C.8C

You want to simulate the probability of getting two heads when flipping two coins. Which method would be best?

• Flip two coins 50 times and record the number of times both are heads.

• Roll a die and count even numbers as heads.

• Draw a card from a deck.

• Spin a spinner with 4 colors.

Tags

CCSS.7.SP.C.8C

If you roll two dice, what is the probability that both show a 3?

Which sample space table correctly shows all possible outcomes for flipping a coin and rolling a die?

• Table with rows: H, T; columns: 1, 2, 3, 4, 5, 6; cells: H1, H2, ..., T6

• Table with rows: 1, 2, 3; columns: H, T; cells: 1H, 2T, etc.

• Table with rows: H, T; columns: H, T; cells: HH, HT, TH, TT

• Table with rows: 1, 2, 3, 4; columns: 1, 2, 3, 4; cells: 1-1, 2-2, etc.

Tags

CCSS.7.SP.C.8B