The experiment involved tossing three coins simultaneously the experiment was carried out 100 times and it was noted that three heads occurred 40 times what is the difference between the experimental probability of getting three heads and it's theoretical probability write the answer in the simplest form of a fraction
Experimental probability of getting three heads:
Number of times three heads occurred: 40
Total number of trials: 100
Experimental probability = Number of favorable outcomes / Total number of outcomes
Experimental probability = 40/100
Experimental probability = 2/5
Theoretical probability of getting three heads:
When tossing three coins simultaneously, the possible outcomes are:
HHH, HHT, HTH, THH, HTT, THT, TTH, TTT
Out of 8 possible outcomes, the number of favorable outcomes (getting three heads) is 1 (HHH)
Theoretical probability = Number of favorable outcomes / Total number of outcomes
Theoretical probability = 1/8
Difference between experimental and theoretical probability:
2/5 - 1/8 = 16/40 - 5/40
Difference = 11/40
Therefore, the difference between the experimental probability of getting three heads and its theoretical probability is 11/40.