Question

Use the information in the Table $3.19$to answer the next eight exercises. The table shows the political party affiliation of each of $67$members of the US Senate In June $2012$. and when they are up reelection.

Suppose that a member of the US Senate is randomly selected. Given that the randomly selected senator is up for reelection In November $2016$, what is the probability that this senator is a Democrat?

Short answer

The probability of the reelection in November$2016$the senate of democratic party is$\frac{1}{3}$.

Step-by-step solution

Given information

Number of persons in democratic party year of $2014$is $20$.

Number of persons in democratic party year of$2016$is$10$.

Calculation for probability

Randomly selected member of US Senate is Democrat.

In November $2016$,

Number of person in democratic party is localid="1649668748251" $10$.

Probability$=$$\frac{\mathrm{No}\mathrm{of}\mathrm{persons}}{\mathrm{Total}\mathrm{no}\mathrm{of}\mathrm{persons}}$

Total no of persons in democratic party is equal to sum of persons in November $2014$and$2016$.

So,

Total no of persons$=$$20+10$

$=30$

Thus,

$\mathrm{P}(\mathrm{Democratic}\mathrm{party})=\frac{10}{30}$

$=\frac{1}{3}$