Question

Vicki would like to estimate the probability of tails coming up fewer than 2 times in 3 coin flips. To do this, she has a computer randomly select 0 of 1 three times, with 0 representing heads and 1 representing tails. The results of 15 trials are shown in the table.
What is Vicki's estimated probability, based on this simulation?
Enter your answer as a fraction, in simplified form.

Answer 1

Your answer would be 2/5! 

Answer 2

Answer with explanation:

When we toss a coin,

Probability of getting Head

$=\frac{1}{2}$

Probability of getting Tail

  $=\frac{1}{2}$

when we flip a coin three times, we can get maximum of three heads

X=0 T, 1 T, 2 T, 3 T, that is maximum of 3 tails.

We have to estimate ,the probability of tails coming up fewer than 2 times in 3 coin flips as T is represented by 1,and Head is represented by 0.

Means, X=0,1→→Probability Distribution

Out of 15 trials, in a simulation ,there are 6 trials in which[ there is tails coming up fewer than 2 times ,=either 1 Tail or 0 tail] .

  ={(000), (000), (010),(100),(000),(000)}

$=\frac{6}{15}=\frac{2}{5}$