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

# Question Video: Determining the Probability of Union of Two Mutually Exclusive Events Mathematics • Second Year of Secondary School

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Two mutually exclusive events π΄ and π΅ have probabilities π(π΄) = 1/10 and π(π΅) = 1/5. Find π(π΄ β π΅).

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### Video Transcript

Two mutually exclusive events π΄ and π΅ have probabilities the probability of π΄ equals one-tenth and the probability of π΅ equals one-fifth. Find the probability of π΄ union π΅.

These two events are mutually exclusive, and so we can recall the addition rule. The probability of π΄ union π΅ is the sum of the individual probabilities. Itβs the probability of π΄ plus the probability of π΅. For this question then, we have that the probability of π΄ union π΅ is one-tenth plus one-fifth. We write that fraction of one-fifth as an equivalent fraction with the denominator of 10. Itβ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 π΄ union π΅ is three-tenths.

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