Question

A coin of questionable fairness is tossed 10 times per set of trials for two sets of trials. The outcomes are THTHTHTHHT and TTTHTTHTTH (T = Tails; H = Heads). Which model can you most likely rule out on the basis of this simulation?

A.The probability of heads is 40%.
B. The probability of heads is 30%.
C. The probability of heads is 35%
D. The probability of heads is 70%

Answer 1

Therefore, The correct option is A. The probability of heads is 40%

Explanation:

First set of trials : THTHTHTHHT ( T = Tails ; H = Heads)

Number of heads = 5

Number of outcomes = 10

Second set of trials : TTTHTTHTTH

Number of heads = 3

Number of outcomes = 10

Now, Total number of heads in the two tosses of the coin = 5 + 3 = 8

Total number of outcomes in the two tosses of the coin = 10 + 10 = 20

`\text{So, Probability of heads = }(8)/(20)* 100=40\%`

Therefore, The correct option is A. The probability of heads is 40%