Explanation:
The number of times the 6-sided number cube will be rolled will is

Let the numbers greater than 4 be represented below as


The number of sample space will be

The probability of rolling a number greater than 4 will be calculated below as

Hence,
To calculate the number of times a number greater than 4 will be rolled will be calculated below as

Hence,
The final answer is
Answer:
108, 324, 972
Step-by-step explanation:
4 (*3)
ans. (*3)
ans. (*3)
ans. (*3)
ans. (*3)
ans. (*3)
Its 9 because it includes f(x)
Answer: 24
Step-by-step explanation:
Lowest common multiple means the lowest number that can be divisible by 8,12,3
Looking at this, let's pick 8&3 first
8×3=24
12×3=36
12×8=96
Looking at this value,24 seems to be the lowest,
Therefore the lowest common multiple is 24
Answer:
(a)
The probability that you stop at the fifth flip would be

(b)
The expected numbers of flips needed would be

Therefore, suppose that
, then the expected number of flips needed would be 1/0.5 = 2.
Step-by-step explanation:
(a)
Case 1
Imagine that you throw your coin and you get only heads, then you would stop when you get the first tail. So the probability that you stop at the fifth flip would be

Case 2
Imagine that you throw your coin and you get only tails, then you would stop when you get the first head. So the probability that you stop at the fifth flip would be

Therefore the probability that you stop at the fifth flip would be

(b)
The expected numbers of flips needed would be

Therefore, suppose that
, then the expected number of flips needed would be 1/0.5 = 2.