### Video Transcript

Denote by ๐ด and ๐ต two independent events. Given that the probability of ๐ด is 0.54 and the probability of ๐ต is 0.17, find the probability of ๐ด intersection ๐ต.

For any two independent events ๐ด and ๐ต, the probability of the intersection of ๐ด and ๐ต is equal to the probability of ๐ด multiplied by the probability of ๐ต. 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 ๐ด and ๐ต both occurring is 0.0918.