Question

A coin is flipped 150 times. The results of the experiment are shown in the following table:

Head 63 Tail 87

Which of the following statements best describes the experimental probability of getting heads?

Answer 1

It is equal to the theoretical probability.
It is 8% lower than the theoretical probability.
It is 8% higher than the theoretical probability.
The experimental probability cannot be concluded from the data in the table.

Answer 2

1/2*63/150?

Answer 3

help

Answer 4

What is the theoretical probability of getting heads in this case of 150 tosses?

Answer 5

63

Answer 6

No that is what happened in the experiment.
In theory, if you toss a coin 150 times, how many heads do you expect?

Answer 7

2

Answer 8

?

Answer 9

two side to a coin

Answer 10

Each time you toss a coin, there is an equal probability of getting heads or tails.
If you toss a coin 150 times, there is a theoretical probability of getting heads 75 times and tails 75 times.
Do you understand my question now?

Answer 11

yes i understand

Answer 12

A coin is flipped 150 times

Heads Tails
Experimental outcome: 63 87
Theoretical outcome 75 75

Ok?

Answer 13

Now let's look at percentages.
The theoretical 75 heads are: 75/150 * 100 = 50%
The actual heads are: 63/150 * 100 = 42%
The actual tails are: 87/150 * 100 = 58%

Answer 14

A coin is flipped 150 times

Heads Tails
Experimental outcome: 63 (42%) 87 (58%)
Theoretical outcome 75 (50%) 75 (50%)

Now look above at the "Heads" column.
The theoretical heads result is 50%.
The experimental (actual) heads result was 42%.

Now read your choices and choose the correct answer.

Answer 15

b?

Answer 16

Exactly, since 42% is 8% less than 50%.
Good job!

Answer 17

@mathstudent55 thanks

Answer 18

You're welcome.