Compound Probability Worksheets Grade 7

1. Liam is conducting a probability experiment with a standard six-sided die and a fair coin. He wants to determine the probability of rolling an even number on the die and getting heads on the coin flip. What is the probability of this compound event occurring?
2. Emma is designing a board game that uses two special dice. The first die is a 12-sided die numbered from 1 to 12. The second die is an 8-sided die numbered from 1 to 8. If a player rolls both dice, what is the probability that they roll a number greater than 9 on the first die AND an odd number on the second die? Express your answer as a simplified fraction.
3. A circular dartboard has a radius of 15 cm. The bullseye is a smaller circle in the center with a radius of 3 cm. If a dart hits a random point on the dartboard, what is the probability (as a simplified fraction) that it lands in the bullseye?

…and 3 more problems

1. Emma is conducting a probability experiment with a bag of marbles and a standard six-sided die. The bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. She randomly draws one marble from the bag and rolls the die once. What is the probability that Emma draws a blue marble AND rolls a number greater than 4? Express your answer as a simplified fraction.
2. Emma is conducting a probability experiment with a bag of marbles and a standard six-sided die. The bag contains 3 red marbles, 2 blue marbles, and 5 green marbles. Emma will randomly draw one marble from the bag and roll the die once. What is the probability that she draws a blue marble AND rolls a number greater than 4? Express your answer as a simplified fraction.
3. P(red) = 3/8, P(blue) = 1/4, P(red or blue) = ?

…and 5 more problems

1. Emma is conducting a probability experiment with a bag containing 3 red marbles, 2 blue marbles, and 5 green marbles. She randomly selects one marble, records its color, and puts it back in the bag. Then she randomly selects a second marble. What is the probability that both marbles she selects are green? Express your answer as a simplified fraction.
2. P(red) = 3/8 and P(blue) = 1/6, P(red or blue) = ?
3. Emma is conducting a probability experiment with a bag containing 5 red marbles, 3 blue marbles, and 2 green marbles. She draws one marble at random, records its color, and puts it back in the bag. Then she draws a second marble. What is the probability that Emma draws a red marble first AND a blue marble second? Express your answer as a simplified fraction.

…and 5 more problems