Find the conditional probability.
-Suppose one card is selected at random from an ordinary deck of 52 playing cards. Let A = event a queen is selected
B = event a diamond is selected. Determine $\mathrm { P } ( \mathrm { B } \mid \mathrm { A } )$.
A) $\frac { 1 } { 13 }$
B) $\frac { 1 } { 4 }$
C) $\frac { 1 } { 2 }$
D) $\frac { 1 } { 52 }$

Question

Quizplus · Accepted Answer

Given that a queen is selected (event A), there are 4 queens in a deck, and only 1 of them is a diamond. Thus, the probability of selecting a diamond given that a queen is selected is 1 out of 4 queens, which is $\frac{1}{4}$.

Find the Conditional Probability P(B∣A)\mathrm { P } ( \mathrm { B } \mid \mathrm { A } )P(B∣A)

Find the Conditional Probability $\mathrm { P } ( \mathrm { B } \mid \mathrm { A } )$