Answer:
1/18 (5.5%)
Step-by-step explanation:
You have a 1/3 chance to get red the first time and a 1/6 to get blue the second. So to find the compound probability of this you multiply 1/3*1/6.
Answer
x≤3/17 or x≥-10
Step-by-step explanation:
So, the total number of balls is 11. We want to pick 2 red balls and 1 green ball. WLOG (since order doesnt matter here), we can say he picks red, green, red. That means on his first pick, he has a
chance of picking the red ball, and he places it back in the bag. The probability of picking a green ball is
, and then he places the ball back in the bag. The probability of picking the last red ball is the same as the last red ball example, and we simply multiply the probabilities together as per the multiplication rule to get:

Now, without replacement the order does matter. He picks a red ball, a red ball then a green ball. The probability of picking the first red ball is
, and the probability of picking the second red ball is
and the probability of picking the green ball is
. We want to multiply thm again, as per the multiplication rule like the last problem.

We have been given the function 
We know that the range is set of y values for which the function is defined. Therefore, we will find the value for x and then observe the restriction is y's values.

Now, we know that logarithm function is not defined for negative values. Hence, the value for y is always greater than zero.
Therefore, the range of the function is given by y>0
B is the correct option.