Conditional Probability Worksheets Grade 10

1. P(A|B) = P(A∩B) / P(B) where P(A) = 0.9, P(B) = 0.8, P(A∩B) = 0.72 = ?
2. Mason runs a factory that produces electronic components. On a given day, 12% of the components are defective. The quality control system correctly identifies 95% of defective components as defective, but it also incorrectly flags 8% of non-defective components as defective. If a randomly selected component is flagged as defective by the quality control system, what is the probability that it is actually defective? Express your answer as a percentage rounded to two decimal places.
3. P(A|B) = P(A∩B) / P(B) where P(A) = 0.4, P(B) = 0.5, and P(A∩B) = 0.2 = ?

…and 2 more problems

1. P(A|B) = P(A∩B) / P(B) where P(A) = 0.45, P(B) = 0.75, P(A∩B) = 0.3 = ?
2. A circle with center at (0,0) and radius 5 units is drawn on a coordinate plane. A point P is randomly selected from within the square region bounded by x = -5, x = 5, y = -5, and y = 5. What is the probability that point P lies inside the circle? (Use π = 3.14)
3. A circle is inscribed in a square with side length 10 cm. A smaller square is then inscribed in the circle such that its vertices lie on the circle. What is the area of the smaller square?

…and 2 more problems

1. A circle is inscribed in a right triangle with legs measuring 6 cm and 8 cm. The circle touches all three sides of the triangle. What is the radius of the inscribed circle?
2. Matiu runs a community garden. He surveyed 240 members to find out their gardening preferences. He found that 144 members grow vegetables, 108 members grow flowers, and 72 members grow both vegetables and flowers. If a randomly selected member from the survey grows vegetables, what is the probability that they also grow flowers? Express your answer as a simplified fraction.
3. Mere is analyzing the effectiveness of a new reading program at her school. She surveys 400 students and finds that 240 students have improved their reading scores. Of those who improved, 80 also showed increased confidence in reading. Additionally, 40 students showed increased confidence but did not improve their scores. If a randomly selected student from the survey showed increased confidence in reading, what is the probability that they also improved their reading scores? Express your answer as a simplified fraction.

…and 4 more problems