Grade 7 Math · Data

Theoretical probability of independent events

Find the probability that two (or three) independent events all happen, by multiplying their individual probabilities. Unlimited questions, five difficulty levels, and a full worked solution every time, included free with weekly lessons.

Practice this skill Curriculum: G7-D2.1, G7-D2.2

Try one

Event A: rolling a standard 6-sided die and getting an even number. Event B: rolling a standard 6-sided die and getting a 5. These events are independent. What is the probability that both happen?

Answer: 1/12

See one solved, step by step

Event A: spinning a spinner with 5 equal sections (2 of them blue) and landing on blue. Event B: flipping a coin and landing on heads. These events are independent. What is the probability that both happen?

📘 Worked solution

1P(A) = 252 out of 5 equally likely outcomes are favourable for event A.

2P(B) = 121 out of 2 equally likely outcomes are favourable for event B.

3(25) · (12) = (2 · 1)/(5 · 2) = 210These events are independent -- one doesn't affect the other -- so multiply their probabilities together.

4= 15Reduce the fraction to lowest terms.

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