If you flip a coin 1,000 times you would very likely get between 498 and 502 heads (including 498 and 502).
It is unusual to get almost the same number of heads as tails. In this case, the probability is 0.13.
false
true
Use the simulation to flip the coin 1,000 times and see how many heads there are. Then click the restart button and try again. See how often you get between 498 and 502 heads. Usually you will not.
true
false
You flip a fair coin 20 times and come up with 17 heads. The probability that the next flip will be heads is
If it is a fair coin, the probability of heads is always 0.5.
0.5
0.0
A fair coin is tossed N times (N is an even number). The probability of getting the same number of heads and tails
true
is a decreasing function of N.
false
is an increasing function of N.
Try flipping the coin twice (one flip at a time) 8 times and count the number of times you get one head and one tail. Then
flip it 8 times (again 8 times) and see how many times you get 4 heads and two tails.
false
does not depend on N.
Try flipping the coin twice (one flip at a time) 8 times and count the number of times you get one head and one tail. Then
flip it 8 times (8 sets of 8 flips) and see how many times you get 4 heads and two tails.
The probability is highest when N = 2. Then there is a 0.5 probability there will be 1 head and one tail. As N increases, the probability of an equal number of heads decreases quickly.
As the number of coin flips increases, the
true
proportion of heads approaches .5.
false
The difference between the number of heads and tails approaches 0.
First click the Restart button then click the qqqFlip 25,000 and redraw graphsqqq button twice and see the results. Click this button over and over again and observe how the difference between number of heads and tails changes.
false
none of he above
First click the Restart button then click the qqqSample 25,000 and redraw graphsqqq button twice and see the results. Click this button over and over again and observe how the proportion of heads changes.
The proportion of heads will approach 0.5. The difference between the number of heads and tails will change greatly and will not approach 0 although it might be close to 0 from time to time before becoming negative or positive.
A fair coin is tossed 50,000 times. Check all that apply.
true
It is likely that the proportion of heads is between 0.495 and 0.505
false
It is likely that number of heads will be within 50 of the number of tails.
false
It is almost certain that number of heads will be within 150 of the number of tails.
true
It is almost certain that the proportion of heads will be between 0.49 and 0.51.
The proportion of heads will be quite close to 0.5. The number of heads may be quite different from the number of tails. Try this out with the simulation several times to see what you get. First click the Restart button then click the qqqFlip 25,000 and redraw graphsqqq button twice and see the results. Try this several times.