Question

While in a newsagents the probability that Ed buys a newspaper is 0.8
In the same newsagents the probability that Ed independently buys a magazine is 0.3
Work out the probability that Ed buys at least a newspaper or a magazine in the same newsagents. Include diagram

Answer 1

Question #68584, Math / Statistics and Probability

While in a newsagents the probability that Ed buys a newspaper is 0.8

In the same newsagents the probability that Ed independently buys a magazine is 0.3

Work out the probability that Ed buys at least a newspaper or a magazine in the same newsagents. Include diagram

Solution

For independent events, the probability of a complex event is calculated as follows.

$$P (A \cap B) = P (A) P (B);$$ $$P (A \cup B) = P (A) + P (B) - P (A \cap B)$$ $$P (A \cap B) = 0.8 \times 0.3 = 0.24;$$ $$P (A \cup B) = 0.8 + 0.3 - 0.24 = 0.86$$

**Answer**: the probability that Ed buys at least a newspaper or a magazine in the same newsagents is 0.86.

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