Final answer:
To find the probability P(A and B), use the formula P(A and B) = P(B|A) * P(A). With the given values, P(A and B) is 0.02.
Step-by-step explanation:
The student is asking how to find the probability of two events A and B occurring together, known as P(A and B). Given that P(A) = 0.2, P(B) = 0.98, and P(B|A) = 0.1, we can use the formula for conditional probability to find the joint probability. The formula is P(A and B) = P(B|A) * P(A), where P(B|A) is the probability of event B occurring given that event A has already occurred.
In this case, to find P(A and B), you would calculate it as follows:
Use the formula: P(A and B) = P(B|A) * P(A).
Plug in the values: P(A and B) = 0.1 * 0.2.
Calculate the result: P(A and B) = 0.02.
Therefore, the probability of both events A and B occurring together is 0.02.