Answer:
0.003
Step-by-step explanation:
Given: A roulette wheel consists of 38 numbers 1 to 36, 0, and double 0.
Smith bets that the outcome will be one of the numbers 1 through 12.
To find: probability that Smith will lose his first 5 bets
Solution:
Probability refers to chances of occurrence of some event.
Probability = Number of favourable outcomes/Total number of outcomes
Total number outcomes = 38
As Smith bets that the outcome will be one of the numbers 1 through 12, number of favourable outcomes is equal to 12.
So,
probability that Smith will loss his first bet = 
Therefore,
Probability that Smith will lose his first 5 bets = 
Answer:
Solution x = - 1
Step-by-step explanation:
3 / (2x+1) = 9 / 3x
Cross multiply
3(3x) = 9(2x + 1)
Distributive property
9x = 18x + 9
Subtract 18x from both sides
-9x = 9
Divide both sides by -9
x = -1
Answer: It will take 
of an hour to complete the test.
Step-by-step explanation:
We need to convert the mixed number 
to an improper fraction:
Now, we need to make the following add the fractions in order to calculate how many hours will it take to complete the test. Then, we get:
Therefore, it will take of an hour to complete the test.
Standard deviation = √(n * p * q)
You are given n and p
q = 1 - p
q = 1 -0.2 = 0.8
Standard deviation = √(21 * 0.2 * 0.8)
=√3.36 = 1.83
The answer is A.
