Question Video: Determining the Probability of the Intersection of Two Independent Events | Nagwa Question Video: Determining the Probability of the Intersection of Two Independent Events | Nagwa

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

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

00:56

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.

Join Nagwa Classes

Attend live sessions on Nagwa Classes to boost your learning with guidance and advice from an expert teacher!

  • Interactive Sessions
  • Chat & Messaging
  • Realistic Exam Questions

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