Jennifer has recently interviewed for two different jobs. She feels there is a 0.440 probability of being offered the first job and a 0.500 probability of being offered the second job. Assume that the two job offers are statistically independent. a. What is the probability that Jennifer will be offered both jobs?

Respuesta :

The probability rules states that, if A and B are two independent events, such as in this problem, the probabilty that both events ocurr simultaneously is the multiplication between their probabilities. Because of that we have that:

[tex]\begin{gathered} P\text{ \lparen of being offered both jobs\rparen = P1 \lparen of being offered the first one\rparen * P2 \lparen of being offered the second one\rparen} \\ P\text{ = 0.440 * 0.500} \\ P\text{ = 0.22} \end{gathered}[/tex]

So, the probability of Jennifer being offered both jobs is 0.22, or 22%