a number cube is rolled 360 times, and the results are recorded as follows: 61 ones, 26 twos, 36 threes, 76 fours, 73 fives, and 88 sixes. what is the experimental probability of rolling a 2.
Answers:
0.07
0.17
0.26
0.83
The experimental probability of rolling a 2 can be found by dividing the number of times a 2 was rolled by the total number of rolls:
Experimental probability of rolling a 2 = Number of 2's rolled / Total number of rolls
Number of 2's rolled = 26
Total number of rolls = 360
Experimental probability of rolling a 2 = 26/360 = 0.07
Therefore, the answer is A) 0.07.
From a barrel of colored marbles, you randomly select 4 blue, 5 yellow, 6 red, 2 green, and 5 purple marbles. Find the experimental probability of selecting a marble that is not blue.
Answers:
6/13
1/2
9/11
3/8
To find the experimental probability of selecting a marble that is not blue, we need to find the number of non-blue marbles and divide by the total number of marbles:
Number of non-blue marbles = 5 yellow + 6 red + 2 green + 5 purple = 18
Total number of marbles = 4 blue + 5 yellow + 6 red + 2 green + 5 purple = 22
Experimental probability of selecting a non-blue marble = Number of non-blue marbles / Total number of marbles
Experimental probability of selecting a non-blue marble = 18/22
Simplifying, we can divide both the numerator and denominator by 2:
Experimental probability of selecting a non-blue marble = 9/11
Therefore, the answer is C) 9/11.
The probability of winning a game is 25%. How many times should you expect to win if you play 20 times?
To find how many times you should expect to win if you play 20 times, we can use the formula:
Expected value = Number of trials x Probability of success
In this case, the number of trials is 20 and the probability of success (winning) is 25% or 0.25.
Expected value = 20 x 0.25
Expected value = 5
Therefore, you should expect to win 5 times if you play the game 20 times.
A survey showed that 62% of car owners prefer two-door cars, 26% prefer four-doored cars, and 12% have no preference. You ask 400 people. how many do you think will prefer two-doored cars?
If 62% of car owners prefer two-door cars, we can expect that a similar percentage of the surveyed group will also prefer two-door cars.
Expected value of people who prefer two-door cars = Total surveyed group x Percentage of people who prefer two-doored cars
Expected value of people who prefer two-door cars = 400 x 0.62
Expected value of people who prefer two-door cars = 248
Therefore, we can expect that around 248 people will prefer two-door cars if 400 people are surveyed.
Sally works in a factory that produces 1,00 televisions each day. When 40 televisions were sampled, is was found that 6 were defective. Estimate how many defective televisions are made each day
To estimate how many defective televisions are made each day, we can use a proportion:
(defective televisions in sample) / (total televisions in sample) = (defective televisions made each day) / (total televisions made each day)
Substituting the values given:
6 / 40 = x / 100
Simplifying and solving for x:
x = (6/40) * 100
x = 15
Therefore, we can estimate that 15 defective televisions are made each day.