Need help with probability questions

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In summary: Each call has a probability of 0.16 of not resulting in a reservation, so the probability of not getting a reservation from the first call is 16%.

Homework Statement

Q: Approximately 16% of the calls to an airline reservation phone line result in a reservation being made.

a. Suppose that an operator handles 15 calls. What is the probability that none of the 15 calls result in a reservation? (Give the answer to 3 decimals places.)

I have tried

1-.16=.84 (incorrcect)

I thought maybe it was not probable for an answer of 0 (incorrect)

I also at one point ended up with the answer 0.011 but cannot remember how I got that answer

b.What is the probability that at least one call results in a reservation being made? (Give the answer to 3 decimals places.)

I would think you would divide 1 by 15. Probable opportunities divided by actual opportunities. But, I am sure I am supposed to use the 16% in this equation somewhere...very stuck.

Homework Equations

I am new to this and this is my first math class in 25 years so I am not sure what to put here.

The Attempt at a Solution

for part a:
I have tried

1-.16=.84 (incorrcect)

I thought maybe it was not probable for an answer of 0 (incorrect)

I also at one point ended up with the answer 0.011 but cannot remember how I got that answer

for part b

I would think you would divide 1 by 15. Probable opportunities divided by actual opportunities. But, I am sure I am supposed to use the 16% in this equation somewhere...very stuck.

The calls are independent of each other, so each call has p=0.16 for creating a reservation.

Now you queue up the calls ...

A similar, perhaps easier to grasp, problem is the following:
1. each coin flip is p=0.50 heads
2. You flip the coin 15 times
3. What is the probability that none of the coin flips is heads?

Did you manage to follow what was going on in class? Do have some notes or a handout from the class? Or a set book?

What percentage of the time does the first call not result in a reservation?

What is probability?

Probability is the measure of the likelihood that an event will occur. It is expressed as a number between 0 and 1, with 0 representing impossibility and 1 representing certainty.

What is the difference between experimental and theoretical probability?

Experimental probability is based on the results of actual experiments or trials, while theoretical probability is based on mathematical calculations and assumptions.

How do I calculate probability?

To calculate probability, you divide the number of favorable outcomes by the total number of possible outcomes. This will give you a decimal or fraction, which can then be converted to a percentage if desired.

What does it mean to have a probability of 0?

A probability of 0 means that the event is impossible and will not occur. This can happen if the event is not physically or logically possible, or if the sample space is too small.

Can probability be greater than 1?

No, probability cannot be greater than 1. This would mean that the event is certain to occur, which is not possible. If your calculation results in a probability greater than 1, it is likely that there is an error in your calculations or assumptions.