License plates are made using 3 letters followed by 2 digits. How many different plates can be made if


  1. License plates are made using 3 letters followed by 2 digits. How many different plates can be made if repetition of letters and digits is allowed?
    Solution: The total number of different plates is
    \[\#\text{ Plates}=26\times 26\times 26\times 10\times 10=1,757,600\]
    which is computed by using the multiplication principle.
  2. In 2001 the stock market took some big swings up and down. One thousand investors were asked how often they tracked their investments. The table below shows their responses. What is the probability that an investor tracks the portfolio monthly?
    How often tracked? Response
    Daily 235
    Weekly 278
    Monthly 292
    Few times a year 136
    Do not track 59
  1. In a battleground state, 36% 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
  2. 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 red? Round your answer to 3 decimal places.

4. 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 prefers orange juice, given they are over 40? Round your answer to 3 decimal places.

Water Orange juice Cola
Under 21 years 40 25 20
21 – 40 years 35 20 30
Over 40 years 20 30 35
  1. 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 heavy drinker? Round your answer to 3 decimal places.

  1. 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 regular drinker or heavy drinker? Round your answer to 3 decimal places.

Price: $10.88
Solution: The downloadable solution consists of 5 pages, 588 words.
Deliverable: Word Document


log in to your account

Don't have a membership account?
REGISTER

reset password

Back to
log in

sign up

Back to
log in