A bag contains 36 marbles. If the probability of reaching in and pulling out a blue marble is 49, how many blue marbles are in the bag? Show your work or Explain.
I suspect Ava meant that the prob is 4/9
4/9 = 16/36 , (I wanted 36 in the denominator since there were 36 marbles)
so there were 16 blue marbles
49 is not a possible probability, as they are all less than 1.
I suspect you have garbled the fraction.
Sorry I didn't notice, I meant 4/9.
To find the number of blue marbles in the bag, we need to determine the probability of pulling out a blue marble and then use that information to solve for the number of blue marbles.
Let's start by defining the probability of pulling out a blue marble as 49. The probability of an event is defined as the number of favorable outcomes divided by the total number of possible outcomes.
In this case, the number of favorable outcomes is the number of blue marbles, and the total number of possible outcomes is the total number of marbles in the bag, which is given as 36.
So we can set up the equation:
Number of blue marbles / Total number of marbles = Probability of pulling out a blue marble
In this case, we are given that the probability of pulling out a blue marble is 49, so our equation becomes:
Number of blue marbles / 36 = 49
To solve for the number of blue marbles, we can multiply both sides of the equation by 36:
(Number of blue marbles / 36) * 36 = 49 * 36
The 36 on the left side cancels out, leaving us with:
Number of blue marbles = 49 * 36
Calculating this gives us:
Number of blue marbles = 1764
Therefore, there are 1764 blue marbles in the bag.