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Toss Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

Cumulative Number Number of of Heads Heads 2 2 2 4 4 8 8 16 3 19 4 23 3 26 4 30 7 37 3 40 4 44 4 48 5 53 4 57 5 62 6 68 5 73 5 78 6 84 5 89 4 93 6 99 6 105 6 111 6 117 4 121 4 125 3 128 3 131 5 136 3 139

Total Coins Tossed 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250 260 270 280 290 300 310

Cumulative Percent of Heads 0.2000 0.2000 0.2667 0.4000 0.3800 0.3833 0.3714 0.3750 0.4111 0.4000 0.4000 0.4000 0.4077 0.4071 0.4133 0.4250 0.4294 0.4333 0.4421 0.4450 0.4429 0.4500 0.4565 0.4625 0.4680 0.4654 0.4630 0.4571 0.4517 0.4533 0.4484

Number of Successes 0 1 2 3 4 5 6 7 8 9 10 Sums

Subjective Probability 0.01 0.02 0.05 0.07 0.20 0.30 0.20 0.07 0.05 0.02 0.01 1.00

Actual Successes 0 0 5 8 18 13 11 3 2 0 0 60.000

Empirical Probability 0.000 0.000 0.083 0.133 0.300 0.217 0.183 0.050 0.033 0.000 0.000 1.000

Theoretical Probability 0.000976563 0.009765625 0.043945313 0.1171875 0.205078125 0.24609375 0.205078125 0.1171875 0.043945313 0.009765625 0.000976563 1.000


32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

5 4 4 5 2 5 4 4 4 7 6 2 5 5 4 6 2 6 4 3 8 4 3 7 6 5 6 5 4

144 148 152 157 159 164 168 172 176 183 189 191 196 201 205 211 213 219 223 226 234 238 241 248 254 259 265 270 274

320 330 340 350 360 370 380 390 400 410 420 430 440 450 460 470 480 490 500 510 520 530 540 550 560 570 580 590 600

0.4500 0.4485 0.4471 0.4486 0.4417 0.4432 0.4421 0.4410 0.4400 0.4463 0.4500 0.4442 0.4455 0.4467 0.4457 0.4489 0.4438 0.4469 0.4460 0.4431 0.4500 0.4491 0.4463 0.4509 0.4536 0.4544 0.4569 0.4576 0.4567


Cumulative Percent of Heads 0.600 0.500 0.400 0.300 0.200

0.100 1

3

5

7

9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59

Toss Number


Subjective and Theoretical Probabilities 0.35 0.30 0.25 0.20 Subjective Probability

0.15

Theoretical Probability

0.10 0.05 0.00 0

1

2

3

4

5

6

Number of Successes

7

8

9

10


Empirical and Theoretical Probabilities 0.350 0.300 0.250 0.200 Empirical Probability

0.150

Theoretical Probability

0.100 0.050 0.000 0

1

2

3

4

5

6

Number of Successes

7

8

9

10


Coin Toss Probability Project