ANSWER
[tex]P(A and B) = \frac{39}{200} [/tex]
EXPLANATION
If A and B are independent events, then,
P(A and B)=P(A)×P(B)
It was given that:
[tex]P(A) = \frac{3}{10} [/tex]
and
[tex]P(B) = \frac{13}{20} [/tex]
[tex]P(A \: and \: B) = \frac{3}{10} \times \frac{13}{20} [/tex]
[tex]P(A and B) = \frac{39}{200} [/tex]
