Question

A subcommittee is being formed from the 113th US Senate. In this particular session, there were 45 Republicans and 55 Democrats*. Use this information to answer the following.

*Technically, there were 2 Independents or Independent Democrats, but caucused with the Democratic Party.
Remember the rounding convention for a decimal value with more than 3 zeroes is to round to the second non-zero digit.

Step 1 of 6:

If we choose a committee of 10 at random, what is the probability that they will all be Republicans?

Step 2 of 6:

If we choose a committee of 10 at random, what is the probability that the committee will contain all Democrats (for this question, do not separate out the Independent Senators)?

Step 3 of 6:

If we choose a committee of 10 at random, what is the probability that the committee will contain all Democrats (for this question, DO separate out the Independent Senators)?

Step 4 of 6:

If we choose a committee of 10 at random, what is the probability that the committee will contain exactly half Democrats (for this question, do not separate out the Independent Senators) and half Republicans?

Step 5 of 6:

Interpret your probability from the previous step.

Step 6 of 6:

Using your previous answers, which, if any of the committees discussed would NOT be unusual?

A. All Democrats with Independents
B. All Democrats without independents
C. All Republicans
D. Half Democrats, Half Republicans

Answer 1