# Intro to Probability

posted by .

In a certain election, the incumbent Republican will run against the Democratic nominee. There are three Democratic candidates, D1, D2 and D3, whose chances of gaining the Democratic nomination are .50, .35 and .15, respectively. Here are the chances that the Republican will win against each of these possible Democratic nominees:
vs. D1: 0.60 vs. D2: 0.50 vs. D3: 0.40

(a) Name (but do not give) the probability formula that is needed to find the chance that the Republican will win the election.

(b) Find the probability that the Republican will win the election.
====================================
Im not sure how to start.

• Intro to Probability -

a
two rules -addition rule (special case for mutually exclusive events) and multiplication rule (for independent events)
------------------
b
probability of winning against D1 = probability of D1 being nominee * probability of Beating D1 if nominee
= .5 *.6 = .3
same multiply for candidate D2
= .35 * .5 = .175
same for D3
.15 * .4 = .06
now chances of winning = sum - any intersections but there are no intersections, only one democratic candidate in the end so = .3+.175+.06 = .535

## Similar Questions

1. ### Government

Which of the following statements about the gender gap is the most accurate,according to the text?
2. ### history

Is it because of James Madisons urging, the election of 1800 was finally settled?
3. ### Intro to Probability, check some of my work please

1.) An octave contains twelve different musical notes (in Western music). How many different eight note melodies can be constructed from these twelve notes if: (a) no note can be used more than once?
4. ### Probability

1.) An octave contains twelve different musical notes (in Western music). How many different eight note melodies can be constructed from these twelve notes if: (a) no note can be used more than once?
5. ### Finite Math- help wanted. Super hard!

In a past presidential election, it was estimated that the probability that the Republican candidate would be elected was 2/3, and therefore the probability that the Democratic candidate would be elected was 1/3 (the two Independent …
6. ### U.S History Check Please :)

What was the "corrupt bargain" of the 1824 election?
7. ### Social Studies

7. Why did Jefferson and his Democratic Republican party oppose policies that favored manufacturing and trade?
8. ### Social studies

Why did Jefferson and his Democratic Republican party oppose policies that favored manufacturing and trade?
9. ### math/statistics

In a past presidential election, it was estimated that the probability that the Republican candidate would be elected was 1/3, and therefore the probability that the Democratic candidate would be elected was 2/3 (the two Independent …
10. ### math

In a past presidential election, it was estimated that the probability that the Republican candidate would be elected was 1/3, and therefore the probability that the Democratic candidate would be elected was 2/3 (the two Independent …

More Similar Questions