rita rolls a standard, 6 - sided die. let a be the event that the number she rolls is even. let b be the…

rita rolls a standard, 6 - sided die. let a be the event that the number she rolls is even. let b be the event that the number she rolls is less than 6. complete the paragraph. the conditional probability of b given a is the probability that the number rita rolls is. the conditional probability of b given a is.

rita rolls a standard, 6 - sided die. let a be the event that the number she rolls is even. let b be the event that the number she rolls is less than 6. complete the paragraph. the conditional probability of b given a is the probability that the number rita rolls is. the conditional probability of b given a is.

Answer

Explanation:

Step1: List elements of A and B

$A = {2, 4, 6}$, $B={1, 2, 3, 4, 5}$, $A\cap B = {2, 4}$

Step2: Use conditional - probability formula

$P(B|A)=\frac{P(A\cap B)}{P(A)}$. Since $P(A)=\frac{3}{6}=\frac{1}{2}$ and $P(A\cap B)=\frac{2}{6}=\frac{1}{3}$, then $P(B|A)=\frac{\frac{1}{3}}{\frac{1}{2}}=\frac{2}{3}$

Answer:

less than 6 given it is even; $\frac{2}{3}$