In a recent study, the following responses were obtained to the question, "Do you favor re in your neighborhood?"
$\begin{array}{llll}
& \frac{\text { Yes }}{} & \frac{\text { No }}{} & \frac{\text { No Opinion }}{} \
\text { Males } & 25 & 15 & 10 \
\text { Females } & 30 & 10 & 10
\end{array}$
If a response is picked at random, what is the probability that it came from a male or that indicated no opinion regarding recycling?
A) $\frac { 7 } { 10 }$
B) $\frac { 3 } { 5 }$
C) $\frac { 3 } { 10 }$
D) $\frac { 4 } { 5 }$ cycling

Question

In a recent study, the following responses were obtained to the question, "Do you favor re in your neighborhood?"
$\begin{array}{llll} 
& \frac{\text { Yes }}{} & \frac{\text { No }}{} & \frac{\text { No Opinion }}{} \
\text { Males } & 25 & 15 & 10 \
\text { Females } & 30 & 10 & 10
\end{array}$
If a response is picked at random, what is the probability that it came from a male or that indicated no opinion regarding recycling?
A) $\frac { 7 } { 10 }$
B) $\frac { 3 } { 5 }$
C) $\frac { 3 } { 10 }$
D) $\frac { 4 } { 5 }$ cycling

Quizplus · Accepted Answer

The total number of responses is 100 (25+15+10+30+10+10). The number of male responses is 50 (25+15+10), and the number of no opinion responses is 20 (10+10). The probability of picking a response from a male or with no opinion is the sum of the probabilities of each, minus the overlap (which is the no opinion from males, already counted in the male total), so $ \frac{50 + 20 - 10}{100} = \frac{60}{100} = \frac{3}{5} $.

In a Recent Study, the Following Responses Were Obtained to the Question