Question

In a roll of a die, let a "six" be the face with six spots. Consider the two events below.

Event A: more than 16,000 sixes in 100,000 rolls

Event B: more than 160,000 sixes in 1,000,000 rolls.

Pick the right option.


P(A) = P(B)
P(A) > P(B)
P(A) < P(B)

Answer 1

first part
Let X = # of 6's in 100,000 rolls
X is a binomial random variable , n=100 000 , p = 1/6
P(A) = P ( X > 16 000)

second part
Let Y = # of 6's in 1,000,000 rolls
n= 1 000 000 , p = 1/6
P(B) = P( Y > 160 000 )

Answer 2

im not supposed to give the answer :o

Answer 3

P(A) = P ( X > 16 000) = 1 - binomcdf( 100 000 , 1/6, 16 000 )

Answer 4

ok, its easier if we simplify this problem

Answer 5

P(A) < P(B)

Answer 6

Thanks it is correct.