Compound Probability Worksheets Grade 7

1. (-3)² + 2 × (15 - 7) = ?
2. P(red) = 3/8 and P(blue) = 1/6, P(red or blue) = ?
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 4 more problems

1. 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.
2. 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.
3. Liam is conducting a probability experiment with a spinner divided into 4 equal sections (red, blue, green, yellow) and a standard six-sided die numbered 1-6. He wants to find the probability of spinning red on the spinner AND rolling an even number on the die. What is the probability of this compound event occurring?

…and 4 more problems

1. 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.
2. Emma is conducting a probability experiment with two spinners. The first spinner has 6 equal sections labeled with the numbers 1 through 6. The second spinner has 5 equal sections labeled with the letters A, B, C, D, and E. If Emma spins both spinners once, what is the probability that she gets an even number on the first spinner AND a vowel on the second spinner? Express your answer as a simplified fraction.
3. P(red) = 3/8, P(blue) = 1/4, P(red or blue) = ?

…and 4 more problems