Question

• You have a 4 sided die with sides marked A, B, C and D.  You roll the die 100 times.  Find the probablilty that you get A at least 92 % of the time.
• Your friend also rolls the die from problem three 100 times. He rolled more A’s than 70 % of all people who could roll this die 100 times.  What percentage of the time did he roll and A???

Answer 1

Since the dice has 4 sides,so probability of getting an A is 1/4 =0.25

p=0.25

q=1-p

=1-0.25

=0.75

r=0.92*100 = 92

So we need to find P(x>= 92)

P(x>= 92) = 1-P(x<92)

               = 1-[P(x<=92) -P(x=92)]

               = 1- P(x<=92) + P(x=92)

               = 1- 1 + 0

               = 0

For second problem,the question doesn’t make sense,” What percentage of the time did he roll and A” Please recheck