Question

question 4 · 1 point if a and b are independent events with p(a) = 0.7 and p(b) = 0.4, find p(a and b). provide your answer below:

Explanation:

Step1: Recall the formula for independent events

For independent events \( A \) and \( B \), the probability of both \( A \) and \( B \) occurring is given by \( P(A \text{ AND } B)=P(A)\times P(B) \).

Step2: Substitute the given values

We know that \( P(A) = 0.7 \) and \( P(B)=0.4 \). Substituting these values into the formula, we get \( P(A \text{ AND } B)=0.7\times0.4 \).

Step3: Calculate the product

\( 0.7\times0.4 = 0.28 \).

Answer:

\( 0.28 \)