Question

A survey showed that 56% of car owners prefer four-door cars, 31% prefer two-door cars, and 13% have no preference. You ask 500 people. How many do you think will prefer four-door cars?

In your last 25 basketball games, you attempted 125 free throws and made 100. What is the experimental probability of you making a free throw in your next game?

Jamestown Builders has a development of new homes. There are four different floor plans, seven exterior colors, and an option of either a one-car or a two-car garage. How many choices are there for one home?

A number cube with the numbers 1 through 6 is rolled. Find the probability of rolling the number 2. *

In your last 20 soccer games, you attempted 120 goals and made 60. What is the experimental probability of you making a goal in your next game? *

If no digit may be used more than once, how many 3-digit numbers can be formed using only the digits 6, 8, 1, 4, 5, and 9? *

new movie opened the other day. So far, 500,000 people have seen it. The producers of the movie need to know if the people liked it. A random sample of 5,000 people leaving the movie were asked if they liked the movie. If 3,500 of those interviewed enjoyed the movie, predict the total number of people who enjoyed the movie?


The table shows the drink preferences of 50 shoppers at the mall. What is the probability that one shopper, selected at random from the 50 surveyed, preferred either Drink D or Drink E?

Answer 1

The answers are:
280
4/5
56
1/6
5
350,000

Step-by-step explanation
56% of people surveyed said they preferred 4-door cars. 56% = 56/100 = 0.56; 0.56(500) = 280. We would expect 280 people to prefer 4-door cars.

Your experimental probability was 100/125, since you made 100 out of 125 shots. 100/125 = 4/5.

The fundamental counting principle states that in order to find the total number of choices, we multiply the number of choices for each item:
4 floor plans, 7 colors, 2 types of garage = 4*7*2 = 56

There is 1 way of rolling a 2 out of 6 possibilities, so the probability is 1/6.

You made 60 goals out of 120 attempted, so the probability is 60/120 = 1/2.

To find the number of combinations of these letters, we find the number of possible ways to take 6 objects 3 at a time:

`_6C_3=(6!)/(3!(6-3)!)=(6!)/(3!3!) = (720)/(36) = 5`

Since 3500 of the 5000 people surveyed enjoyed the movie, we would expect
3500/5000(500000) = 350000 people to enjoy the movie total.