Answer:
P(A and B)= 0.195
Step-by-step explanation:
Given:
P(A)= 3/10
P(B)= 13/20
A and B are Independent.
To Find:
P(A and B)= ?
Solution:
We know that the event A and event B are Independent.
Hence
The probability of Event A and B occurring is=P(A and B)
P(A and B)=P(A).P(B)
Substituting the values we have,
P(A and B)=P(A).P(B)
[tex]P(A \text { and } B)=\left(\frac{3}{10}\right) \cdot\left(\frac{13}{20}\right)[/tex]
[tex]P(A \text { and } B)=(0.3) \cdot(0.65)[/tex]
[tex]P(A \text { and } B)=0.195[/tex]
