STATISTICS HOMEWORK

Question

What is the probability of obtaining

eleven

heads

in a row when flipping a​ coin? Interpret this probability.

Consider the event of a coin being flipped

eleveneleven

times. If that event is repeated ten thousand different​ times, it is expected that the event would result in

eleven

heads

about

​HOW MANY TIMES ROUND TO THE NEARST WHOLE NUMBER

Answer 1

The probability of flipping heads onetime is 1/2. Therefore the probability of flipping heads 11 times in a row is (1/2)^11. If you put that into a calculator, you should get 0.00048828125.

To determine how many times to expect 11 heads in a row after 10,000 trials, multiply the probability by 10,000.

(0.00048828125 * 10,000) = 4.8828128

Basically, it is expected that approximately 5 of the 10,000 trials will result in getting 11 heads in a row.

I hope this helps. Please feel free to reach out to me directly if you need additional guidance.

-Prasad