Probability Concepts Worksheets Grade 7

1. Emma is designing a board game that uses a spinner divided into 12 equal sections. The sections are colored: 4 red, 3 blue, 3 green, and 2 yellow. She also uses a standard six-sided die numbered 1-6. If a player spins the spinner and then rolls the die, what is the probability that they land on a green section AND roll a prime number? Express your answer as a simplified fraction.
2. P(drawing a card numbered with a multiple of 9 from a bag containing cards numbered 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135) = ?
3. A factory produces 15,000 electronic components per day. Quality control testing shows that 2.5% of components are defective. If a customer orders 8,000 components, what is the expected number of defective components in their order? Round your answer to the nearest whole number.

…and 5 more problems

1. P(rolling a 3 or 5 on a fair six-sided die) = ?
2. P(drawing a card numbered with an odd number from a bag containing cards numbered 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21) = ?
3. A circular dartboard has a radius of 18 inches. The bullseye is a smaller circle in the center with a radius of 3 inches. If a dart hits the dartboard at a completely random point, what is the probability that it lands in the bullseye? Express your answer as a fraction in simplest form.

…and 2 more problems

1. P(rolling a 1 or 5 on a fair six-sided die) = ?
2. P(rolling a number divisible by 3 on a fair twelve-sided die) = ?
3. P(drawing a card numbered with a multiple of 7 from a bag containing cards numbered 7, 21, 35, 49, 63, 77, 91, 105, 119, 133, 147, 161, 175, 189, 203) = ?

…and 4 more problems