Solution:
We have to toss 4 coins at a time for 32 times and note down the results for each outcomes and find out how many times heads occurs. Thus we get following results when we tossed 4 coins 32 times.
Sr. No. | 1st coin | 2nd coin | 3rd coin | 4th coin | No. of Heads. |
1 | H | T | T | H | 2 |
2 | T | T | H | T | 1 |
3 | H | H | T | T | 2 |
4 | T | T | T | T | 0 |
5 | H | H | T | H | 3 |
6 | T | T | T | H | 1 |
7 | H | H | T | T | 2 |
8 | T | T | T | H | 1 |
9 | T | T | H | H | 2 |
10 | H | H | H | T | 3 |
11 | H | H | H | T | 3 |
12 | T | T | H | T | 1 |
13 | T | T | H | T | 1 |
14 | T | H | T | T | 1 |
15 | T | H | T | H | 2 |
16 | T | H | H | H | 3 |
17 | T | H | H | H | 3 |
18 | T | H | T | T | 1 |
19 | T | T | H | T | 1 |
20 | T | T | T | T | 0 |
21 | T | H | T | H | 2 |
22 | H | T | H | T | 2 |
23 | T | T | H | H | 2 |
24 | T | H | H | H | 3 |
25 | T | H | H | T | 2 |
26 | T | H | H | T | 2 |
27 | H | T | T | T | 1 |
28 | H | T | T | H | 2 |
29 | T | H | H | H | 3 |
30 | T | H | H | T | 2 |
31 | T | H | T | H | 2 |
32 | T | T | H | H | 2 |
probability distribution of number of heads:
X= Number of Heads | f =frequency | P(X) |
0 | 2 | 2/32=0.06250 |
1 | 9 | 9/32=0.28125 |
2 | 14 | 14/32=0.43750 |
3 | 7 | 7/32=0.21875 |
4 | 0 | 0/32=0.00000 |
N = 32 | ![]() |
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