Question

Can anyone help me with this probability table ?

Answer 1

What's your question

Answer 2

For each column of the table:

Find the theoretical probability.
Calculate the expected number of heads.
Perform the number of trials, tallying the number of heads on scratch paper and recording the actual results in the table.
Subtract the expected results from the actual results.
Calculate the experimental probability.
Find the difference between the theoretical probability and the experimental probability.

Answer 3

Number of Trials 50 100 200 400
Theoretical Probability
Expected Results
Actual Results
Difference
Experimental Probability
Difference %

Answer 4

So this is one of those problems where you have to conduct an experiment

Answer 5

In this case, all you're doing is flipping a coin 50 times, 100 times, 200 times, and 400 times

Answer 6

I understand how to start it , but then I go blank

Answer 7

where do you go blank

Answer 8

1/2 = X/100
1/2= 50/50= 50/100= 50%
multiply by 50/50 to get denominator of 100

Answer 9

ok what about this?

Answer 10

Ok im trying to find out the Theoretical Probability of a coin tossed 100 times

Answer 11

each theoretical probability should be 1/2

this is because in an ideal and perfect world, each side (heads and tails) has an equal and likely chance of landing upwards

Answer 12

So say you lived in this perfect world: if you flipped a coin 10 times, you would get exactly 5 heads and 5 tails

if you flipped it 20 times, you would get 10 heads and 10 tails

if you flipped it 500 times, you would get 250 heads and 250 tails

Answer 13

so I would take 1/2 and cross multiply it by 100 over X

Answer 14

yes if you do that and solve for x, you'll get 50% like you did above

Answer 15

it makes sense because 1/2 = 50%

Answer 16

the point of this lab is to show that even though the theoretical probability is 1/2, you will NOT get those experimental probabilities

Answer 17

Say you pull out a coin and flip it 100 times. We don't live in a perfect world like I described above. So flipping that coin may result in 65 heads and 35 tails. That's not 50/50 like we expected, but nothing is perfect and it's pretty close.

Answer 18

If you got 65 heads and 35 tails, then

P(Heads) = 65/100 = 13/20 = 0.65 = 65%

P(Tails) = 35/100 = 7/20 = 0.35 = 35%

Answer 19

This is just one possible outcome of an experiment with 100 trials

Answer 20

OK, I understand . THank you!

Answer 21

To be honest, I don't know how likely 65 heads and 35 tails are in the real world, so I bet when you actually flip that coin 100 times, then you might get something closer to 50/50

Answer 22

you're welcome