Question

the probability of ordering tacos is 0.4 and the probability of ordering a burrito is 0.6. the two probabilities are independent from each other. what is the probability of ordering tacos and a burrito?

Explanation:

Step1: Recall probability - multiplication rule for independent events

For two independent events \(A\) and \(B\), the probability of \(A\) and \(B\) occurring is \(P(A\cap B)=P(A)\times P(B)\). Let event \(A\) be ordering tacos with \(P(A) = 0.4\), and event \(B\) be ordering a burrito with \(P(B)=0.6\).

Step2: Calculate the probability

We substitute the values into the formula: \(P(A\cap B)=0.4\times0.6\).
\(P(A\cap B) = 0.24\)

Answer:

\(0.24\)