Anthony observes that when people are leaving class, about 50% turn left and about 50% turn right. Anthony wants to estimate the probability that fewer than 3 of the first 4 students will turn left when leaving class tomorrow.

To do this, he lets H represent turning left when leaving class and T represent turning right. He then flips a coin 4 times, recording the results. He repeats this process for a total of 20 trials.

Question

Mathematics

Diana Terry

12 May, 13:52

Anthony observes that when people are leaving class, about 50% turn left and about 50% turn right. Anthony wants to estimate the probability that fewer than 3 of the first 4 students will turn left when leaving class tomorrow.

To do this, he lets H represent turning left when leaving class and T represent turning right. He then flips a coin 4 times, recording the results. He repeats this process for a total of 20 trials.

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Answers (1)

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Jaylyn Reilly · Answer 1

We are given with

50-50% of turning left or right

Condition that less than 3 out of 4 will turn left

H = turning left

T = turning right

20 trials

The repeated trials probability that he will use is this

P = ∑ nCr H^r T^ (n-r)

where r is from 0 to 2