An experiment consists of selecting two marbles from an urn, in succession and without replacement. The urn contains 17 green marbles and 16 yellow marbles. Find the probability that:

17/66

Step-by-step explanation:

Complete question:

An experiment consists of selecting two marbles from an urn, in succession and without replacement. The urn contains 17 green marbles and 16 yellow marbles. Find the probability that: both  marbles are green?

? a. 0.5006 b. 0.0682 c. 0.6123 d. 0.2872 e. 0.2576

Solution:

Total number of green marbles=17

Total number of yellow marbles=16

Total number of marbles=17+16=33

We have to find the probability that both marbles are green.

Now, the probability that both marbles are green=

Using the formula of probability

The probability that both marbles are green=17/66

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

thus, the first answer choice, y = sec x, is the correct one