Probability Rules Worksheets Grade 10

1. P(Matiu studies) = 0.8, P(Matiu passes | Matiu studies) = 0.6, P(Matiu passes and Matiu studies) = ?
2. P(Tane passes science) = 0.85, P(Tane passes English) = 0.90, P(Tane passes both) = 0.765. Find P(Tane passes English | Tane passes science).
3. P(A) = 0.7, P(B) = 0.5, P(A and B) = 0.35. Find P(A|B).

…and 5 more problems

1. Matiu is analyzing a geometric pattern of colored tiles arranged in a rectangular grid. The grid has 15 rows and 12 columns. Each tile is either blue or yellow. Matiu randomly selects one tile from the grid. Given that the selected tile is from an even-numbered row, what is the probability that it is also from an odd-numbered column?
2. P(disease) = 0.03, P(positive|disease) = 0.97, P(positive|no disease) = 0.07. Find P(disease|positive).
3. Tane is testing a new fertilizer on his tomato plants. The probability that a plant grows unusually large tomatoes with the fertilizer is 0.7. The probability that a plant both grows unusually large tomatoes and has increased disease resistance is 0.35. Given that a plant grew unusually large tomatoes, what is the probability it also has increased disease resistance?

…and 4 more problems

1. P(Emma passes math) = 0.7, P(Emma passes science | Emma passes math) = 0.9, find P(Emma passes math and science)
2. P(Ava) = 0.87, P(Noah) = 0.65, P(Ava and Noah) = 0.5655. Find P(Ava|Noah).
3. Mason is analyzing the accuracy of a new medical test for detecting a rare virus. The probability of having the virus is 0.08. If a person has the virus, the test correctly identifies it 96% of the time. If a person does not have the virus, the test incorrectly shows a positive result 11% of the time. What is the probability that a person who tests positive actually has the virus?

…and 4 more problems