Question

If we flip a coin three times, find the probability of getting at most 1 tail?

a. What is the probability experiment? Flipping a coin

b. What is the event(s)? at most 1 tail

c. What technique can I use to solve this problem? Select an answer

d. How do you know you can use that technique? Select an answer

f. Find the probability of rolling a sum that is at most 1 tail. Write Answer as a Fraction (Not Simplified) Write Answer as a Percent Rounded to Two Decimal Places P( Select an answer ) = ≈ %

g. Is this event likely or unlikely to happen? Select an answer h. Please explain the reason for the correct answer for part g. Select an answer

Answer 1

The sample space will be (HHH, HTH, HHT, HTT, TTT, THT, TTH, THH), a total of 8 cases.

At most one tail = (HTH, HHT, THH), a total of 3 cases.

P(almost 1 tail) = 3/8 = 0.375

a)

A probability experiment is a test in which we perform a number of trials to enable us to measure the chance of an event occurring in the future. For example - flipping a coin.

b)

An event is a set of outcomes of an experiment, which is assigned with a probability.

c)

We can try to first get the sample space and then, we can apply the probability formula,

P(A) = n(E)/n(S)

Where P(A) is the probability of an event A

n(E) is the number of favorable outcomes

n(S) is the total number of events in the sample space.      

d)

We know we can use that as we have both sample space and the required event cases with the probability formula.

e)

The sample space will be (HHH, HTH, HHT, HTT, TTT, THT, TTH, THH), a total of 8 cases.

At most one tail = (HTH, HHT, THH), a total of 3 cases.

P(almost 1 tail) = 3/8 = 37.5%

f)

This event is likely to happen as there are 37.5% chance of it to happen.