Given : Three coins are tossed simultaneously
To find : mean (μ) and variance (σ2)
Formula used :
When three coins are tossed simultaneously,
Total possible outcomes = TTT , TTH , THT , HTT , THH , HTH , HHT , HHH where H denotes head and T denotes tail.
P(0) = \(\frac{1}{8}\) (zero tails = 1 [HHH])
P(1) = \(\frac{3}{8}\) (one tail = 3 [HTH , THH , HHT ])
P(2) = \(\frac{3}{8}\) (two tail = 3 [HTT , THT , TTH ])
P(3) = \(\frac{1}{8}\) (three tails = 1 [TTT])
The probability distribution table is as follows,
Mean = 1.5
Variance = 0.75
