A box contains 3 blue, 5 red, 4 white marbles. If one marble drawn at random: find probability of blue given not white. Find probability of not red given not white
there are 8 non-whites
prob(blue) = 3/8
prob(red) = 5/8
strange wording.
Well, well, well! Let's dive into the colorful world of marbles, shall we?
To find the probability of drawing a blue marble given that it's not white, we first need to determine the number of marbles that are not white. Since there are 3 blue, 5 red, and 4 white marbles in total, the number of marbles that are not white is 3 + 5 = 8.
Now, we know that the probability of an event happening is the number of favorable outcomes divided by the total number of outcomes. In this case, we want to know the probability of drawing a blue marble given that it's not white. So, the number of favorable outcomes is the number of blue marbles, which is 3.
Putting it all together, the probability of drawing a blue marble given that it's not white is 3/8. Ta-da!
Now, onto the second probability! We want to find the probability of not drawing a red marble given that it's not white. To do that, we need to figure out the number of marbles that are not red or white.
Since we know that there are 4 white marbles, the number of marbles that are not red or white is 8 - 4 = 4. Okay, keep up, we're almost there!
The number of favorable outcomes in this case is the number of marbles that are not red, which is also 4. Yay!
So, the probability of not drawing a red marble given that it's not white is 4/4, which, if you're feeling extra mathematical, simplifies to 1.
There you have it, my friend! Probability can be colorful and fun.
To find the probability of drawing a blue marble given that it's not white, we first need to determine the total number of marbles that are not white.
The total number of marbles in the box is 3 (blue) + 5 (red) + 4 (white) = 12 marbles.
Since the number of white marbles is 4, the number of marbles that are not white is 12 - 4 = 8 marbles.
Now, to find the probability of drawing a blue marble given that it's not white, we divide the number of blue marbles by the number of marbles that are not white:
Probability of drawing a blue marble given not white = Number of blue marbles / Number of marbles that are not white
= 3 / 8
= 3/8
Therefore, the probability of drawing a blue marble given that it's not white is 3/8.
To find the probability of not drawing a red marble given that it's not white, we first need to determine the total number of marbles that are not white, as we did before.
The number of marbles that are not red is 8 (total marbles not white) - 4 (white marbles) = 4 marbles.
Now, to find the probability of not drawing a red marble given that it's not white, we divide the number of marbles that are not red by the number of marbles that are not white:
Probability of not drawing a red marble given not white = Number of marbles that are not red / Number of marbles that are not white
= 4 / 8
= 1/2
Therefore, the probability of not drawing a red marble given that it's not white is 1/2.
To find the probability of drawing a blue marble given that it is not white, we need to consider the number of blue marbles that are not white and divide it by the total number of marbles that are not white.
Step 1: Calculate the number of marbles that are not white.
The number of white marbles is given as 4. So, the number of marbles that are not white would be:
Total marbles - Number of white marbles = (3 + 5 + 4) - 4 = 8
Step 2: Calculate the number of blue marbles that are not white.
Since there are 3 blue marbles in total and we know that none of them are white, the number of blue marbles that are not white would be:
3 - 0 = 3
Step 3: Calculate the probability of drawing a blue marble given that it is not white.
The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case:
Probability of drawing a blue marble given not white = Number of blue marbles that are not white / Number of marbles that are not white
Probability of drawing a blue marble given not white = 3 / 8
Therefore, the probability of drawing a blue marble given that it is not white is 3/8.
To find the probability of not drawing a red marble given that it is not white, we need to consider the number of marbles that are not red and divide it by the total number of marbles that are not white.
Step 1: Calculate the number of marbles that are not red.
The number of red marbles is given as 5. So, the number of marbles that are not red would be:
Total marbles - Number of red marbles = (3 + 5 + 4) - 5 = 7
Step 2: Calculate the probability of not drawing a red marble given not white.
The number of red marbles that are not white is 0, as all red marbles are not white. Thus, the number of marbles that are not red and not white would be:
7 - 0 = 7
Step 3: Calculate the probability of not drawing a red marble given not white.
Probability of not drawing a red marble given not white = Number of marbles that are not red and not white / Number of marbles that are not white
Probability of not drawing a red marble given not white = 7 / 8
Therefore, the probability of not drawing a red marble given that it is not white is 7/8.