A bag contains 9 marbles: 2 are green, 2 are red, and 5 are blue. Yoko chooses a marble at random, and without putting it back,
chooses another one at random. What is the probability that both marbles she chooses are green? Write your answer as a fraction in simplest form.
1 answer:
Answer: 1/36
Step-by-step explanation: To find the probability of picking a green marble and picking another green marble, it's important to understand that once Yoko chooses the first marble, it's not replaced which means that there are fewer marbles in the bag.
This means that the outcome of the first event affects the outcome of the second event which means that these are dependent events.
When finding the probability of two dependent events, we first find the probability of each event and then multiply the probabilities.
Let's first find the probability of choosing one green marble.
Since there are 2 green marbles are 9 total marbles, the probability of choosing a green marble is 2/9.
Next we find the probability of choosing another green marble. Remember that the first marble was not put back in the jar which means that there are 8 total marbles in the bag.
Since there is only 1 green marble left and 8 of them are in the bag, the probability of choosing another green one is 1/8.
Now to find the probability of choosing a green marble, not replacing it, and choosing another green marble, we multiply .
Image provided.
Therefore, the probability of choosing a green marble, not replacing it, and choosing another green marble is 1/36.
You might be interested in
Answer:
See step by step
Step-by-step explanation:
To find if a function intervals are possible, make sure the points are above the x axis.
The graph is getting positve around x=-3 but it isn't positive yet.
The graph is positve until x=-1
The graph becomes positive again again at x=2 and is positive infinitely forever.
So let set up our interval
We are going to start at -3 since that where it start getting positive, we then going to use the greater than sign since it get positve as we go to the right as of right now. We use the greater than becuase we are not going to include -3 as our solutions.
We then use a less than sign since the answer must be less than -1 becuase around-1 it start getting negative.
It becomes positive again at x=2 so since we going to left to right use the greater than sign becuase we are not including 2.
It infinitely becomes positive so our interval is x must be cause greater than w becuase it can be any interval greater than two.
and
The roots or zeroes are the x intercept of the graph,(when y=0, what is the x value.)
The x intercepts are -3 and 2.