Conditional Probability Worksheets Grade 10

1. P(A|B) = P(A∩B) / P(B) where P(A) = 0.3, P(B) = 0.6, P(A∩B) = 0.18 = ?
2. log₂(16) = ?
3. P(A|B) = P(A∩B) / P(B) where P(A) = 0.7, P(B) = 0.8, P(A∩B) = 0.56 = ?

…and 4 more problems

1. 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)
2. P(A|B) = P(A∩B)/P(B) where P(A) = 0.6, P(B) = 0.4, P(A∩B) = 0.3 = ?
3. P(A|B) = P(A∩B) / P(B) where P(A) = 0.65, P(B) = 0.52, P(A∩B) = 0.338 = ?

…and 4 more problems

1. Charlotte is designing a target for a carnival game. The target is a square board with side length 42 cm. A regular octagon is drawn inside the square such that each vertex of the octagon lies at the midpoint of a side of the square. The region inside the octagon is painted red, and the four corner triangles (outside the octagon but inside the square) are painted blue. If a dart thrown at the board lands at a random point on the board, what is the conditional probability that the dart lands in the red octagon, given that it lands in the bottom-left corner triangle? Express your answer as a simplified fraction.
2. P(A|B) = P(A∩B) / P(B) where P(A) = 0.6, P(B) = 0.8, P(A∩B) = 0.48 = ?
3. In a high school, 60% of students play a sport and 40% play a musical instrument. If 25% of students play both a sport and a musical instrument, what is the probability that a randomly selected student plays a sport given that they play a musical instrument?

…and 2 more problems