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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 or 1 three times, with 0 representing heads and 1 representing tails. The results of 15 trials are shown in the table. 110 111 000 011 000 010 101 100 000 000 111 101 110 101 111 What is Vicki's estimated probability, based on this simulation? Enter your answer as a fraction, in simplified form, in the box.

Sagot :

Probability helps us to know the chances of an event occurring. Vicki's estimated probability, based on this simulation is 0.4167.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

As it is given that if the output of the computer is 1, then it represents tails, while the 0 represents the head. Also, the results of 12 trials are 111, 011, 000, 010, 100, 111, 010, 111, 111, 101, 000, 111.

Now, in the set of results, we need to calculate the number of results in which the outcome of tails comes up fewer than 2 times, therefore, we need the output that has 2 or more zeroes in it.

Results with 2 or more zeroes are 000, 010, 100, 010, 000

The number of results with 2 or more zeroes is 5.

The total number of possible results is 12.

The probability That Vicki will get 2 or more heads can be written as,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

[tex]\rm Probability(2\ or\ more\ zeroes)=\dfrac{\text{Number of results with 2 or more zeroes}}{\text{Total number of possible results}}[/tex]

[tex]\rm Probability(2\ or\ more\ zeroes)=\dfrac{5}{12} = 0.4167[/tex]

Hence, Vicki's estimated probability, based on this simulation is 0.4167.

Learn more about Probability:

https://brainly.com/question/795909

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