Video: Determining the Probability of the Intersection of Two Independent Events

Denote by 𝐴 and 𝐵 two independent events. Given that 𝑃(𝐴) = 0.54 and 𝑃(𝐵) = 0.17, find 𝑃(𝐴 ∩ B).

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Video Transcript

Denote by 𝐴 and 𝐵 two independent events. Given that the probability of 𝐴 is 0.54 and the probability of 𝐵 is 0.17, find the probability of 𝐴 intersection 𝐵.

For any two independent events 𝐴 and 𝐵, the probability of the intersection of 𝐴 and 𝐵 is equal to the probability of 𝐴 multiplied by the probability of 𝐵. In this question, we need to multiply 0.54 by 0.17. This is equal to 0.0918. The probability of the two independent events 𝐴 and 𝐵 both occurring is 0.0918.

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