Question

Our intuition about chance behavior is not very accurate. In particular, we tend to expect that the long-run pattern described by probability will show up in the short run as well. For example, we tend to think that tossing a coin 10 times will give close to five heads.

a) Set the probability of heads in the Probability applet to 0.5 and the number of tosses to 10. Click “Toss” to simulate 10 tosses of a balanced coin. What was the proportion of heads?

b) Click “Reset” and toss again. The simulation is fast, so do it 25 times and keep a record of the proportion of heads in each set of 10 tosses. Make a stemplot of your results. You see that the result of tossing a coin 10 times is quite variable and need not be very close to the probability 0.5 of heads.

You can use a probability applet. I ONLY need help on question b and how to make the stemplot.

Answer 1

answering only b as asked :

result for 10 tosses simulated 25 times :

serial no.	no. of heads	no. of tails
1	6	4
2	4	6
3	5	5
4	4	6
5	8	2
6	1	9
7	3	7
8	2	8
9	7	3
10	5	5
11	6	4
12	5	5
13	4	6
14	3	7
15	5	5
16	7	3
17	8	2
18	6	4
19	5	5
20	2	8
21	4	6
22	2	8
23	9	1
24	6	4
25	3	7

stem plot :

no. of heads (h)	no. of simulation with h heads
1	1
2	3
3	3
4	4
5	5
6	4
7	2
8	2
9	1
10	0

P.S. (please upvote if you find the answer satisfactory)