Compute Probabilities Using the General Multiplication Rule
-Consider a political discussion group consisting of 4 Democrats, 7 Republicans, and 3 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting an Independent and then a Democrat.
A) $\frac { 6 } { 91 }$
B) $\frac { 3 } { 49 }$
C) $\frac { 2 } { 91 }$
D) $\frac { 3 } { 182 }$

Question

Quizplus · Accepted Answer

The probability of selecting an Independent first is $\frac{3}{14}$ (since there are 3 Independents out of 14 total members). After selecting an Independent, there are now 13 members left, and the probability of selecting a Democrat next is $\frac{4}{13}$ (since there are 4 Democrats out of the remaining 13 members). Using the general multiplication rule, the combined probability is $\frac{3}{14} \times \frac{4}{13} = \frac{12}{182} = \frac{6}{91}$.

Compute Probabilities Using the General Multiplication Rule -Consider a Political 691\frac { 6 } { 91 }916​

Compute Probabilities Using the General Multiplication Rule
-Consider a Political $\frac { 6 } { 91 }$