Question

A fair coin is flipped 100 times. H is the number of heads, T is number of tails, which of the following events has the greatest probability?

H=50
T>60
5148 and T>48 H<5 or T >95 All the less/greater than symbols should be equal to as well

Answer 1

H=50 definately out xD

Answer 2

Yeah haha. I thought T>60 would be the greatest probability since it has the largest range of values lol

Answer 3

right or 51 to 55

Answer 4

But I guess it could also be 51<H<55 I don't know

Answer 5

okay i think we can do npq

Answer 6

Yeah how should I add this up? It's a timed test so I need to figure out a quick way to reason this out. I understand that this is going to follow like a binomial distribution if that's even a thing

Answer 7

sqrtnpq tells us the standard deviation

Answer 8

instead of trying to solve this thru like a gauss continous integral approximation

Answer 9

we can get the standard deviation for this discrete stuff with that sqrtnpq formula

Answer 10

and we know the expected value is 50, so we can see which one in the best deviations and probs

Answer 11

5 is the standard deviation

Answer 12

ok iam thinking this

Answer 13

H>48 and H<52

Answer 14

so that one?

Answer 15

H>48 and T>48

Answer 16

that is equivalent to
48<H<52

Answer 17

which is about 1/2 sd to left and right