Question Video: Determining the Probability of Union of Two Mutually Exclusive Events Mathematics

Two mutually exclusive events 𝐴 and 𝐡 have probabilities 𝑃(𝐴) = 1/10 and 𝑃(𝐡) = 1/5. Find 𝑃(𝐴 ⋃ 𝐡).

00:52

Video Transcript

Two mutually exclusive events 𝐴 and 𝐡 have probabilities the probability of 𝐴 equals one-tenth and the probability of 𝐡 equals one-fifth. Find the probability of 𝐴 union 𝐡.

These two events are mutually exclusive, and so we can recall the addition rule. The probability of 𝐴 union 𝐡 is the sum of the individual probabilities. It’s the probability of 𝐴 plus the probability of 𝐡. For this question then, we have that the probability of 𝐴 union 𝐡 is one-tenth plus one-fifth. We write that fraction of one-fifth as an equivalent fraction with the denominator of 10. It’s two-tenths. And then summing the two probabilities gives three-tenths. By applying the addition rule for mutually exclusive events then, we found that the probability of 𝐴 union 𝐡 is three-tenths.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.