In a battleground state, 40% of all voters are Republicans. Assuming that there are only two parties - Democrat and Republican, if two voters are randomly selected for a telephone survey, what is the probability that they are both Republicans? Round your answer to 4 decimal places
b. You are dealt 2 cards from a shuffled deck of 52 cards, without replacement. There are four suits of 13 cards each in a deck of cards; two of them are black and two of them are red. What is the probability that both cards are black? Round your answer to 3 decimal places
The table below shows the drink preferences for people in 3 different age groups. If one of the 255 subjects is randomly chosen, what is the probability that the person drinks cola given they are over 40? Round your answer to 3 decimal places. (References: example 4 and 5 page 152 - 153, end of section exercises 15, 16, 23 , 24 page 156) (7 points)
Water Orange juice Cola
Under 21 years 40 25 20
21 – 40 years 35 20 30
Over 40 years 20 30 35
5. a. The table below shows the drinking habits of adult men and women.
Non-Drinker Occasional Drinker Regular Drinker Heavy Drinker Total
Men 387 45 90 37 559
Women 421 46 69 34 570
Total 808 91 159 71 1,129
If one of the 1,129 people is randomly chosen, what is the probability that the person is a man or a non-drinker? Round your answer to 3 decimal places. (References: example 4 page 163, end of section exercises 23 - 26 page 168 - 169) (6 points)
b. The table show drinking habits of adult men and women.
Non-Drinker Occasional Drinker Regular Drinker Heavy Drinker Total
Men 387 45 90 37 559
Women 421 46 69 34 570
Total 808 91 159 71 1,129
If one of the 1,129 people is randomly chosen, what is the probability that the person is a non-drinker or a heavy drinker? Round your answer to 3 decimal places. (References: example 4 page 163, end of section exercises 23 - 26 page 168 - 169) (6 points)
Please submit separate questions individually, using Post A New Question.
The answer to your first question is (0.4)^2
Please make an effort to answer these questions yourself, using text materials and simple logic. Doing so will enhance your chances of getting further help here
To find the probability that both selected voters are Republicans, we need to multiply the probability of selecting one Republican voter by the probability of selecting another Republican voter from the remaining voters.
Given that there are two parties - Democrat and Republican, and 40% of all voters are Republicans, we can conclude that the remaining 60% are Democrats.
The probability of selecting the first Republican voter is 40% or 0.4.
After selecting the first Republican voter, the total number of voters remaining decreases by 1, and the number of remaining Republican voters also decreases by 1.
In this case, the probability of selecting the second Republican voter is calculated as follows:
Number of remaining Republican voters / Number of remaining voters
= (Number of initial Republican voters - 1) / (Total number of initial voters - 1)
Substituting the given values into the formula, we have:
(40% - 1) / (100% - 1)
= (0.4 - 1) / (1 - 1)
= -0.6 / 0
Since dividing any number by zero is undefined, we realize that there is no remaining voter available to select as the second Republican voter.
Considering this, the probability of selecting both Republican voters is 0, or 0%.
Therefore, the probability that both selected voters are Republicans is 0.