There are 3 white marbles, 8 red marbles, 3 blue marbles anf 1 black marbles. predict the number of times out of 300 you will pick a red marble.
thank you
Is this correct?
8/15 = 0.53
I divided 8 by 15
0.53 * 300 = 159.9
prob of picking a red marble
= 8/15
so in 300 picks you would expect
(8/15)(300) or 160 reds
notice you lost a bit of accuracy by rounding off your answer.
8 does not divide by 15 exactly, but 15 divides exactly into 300
If you did this on your calculator, then it should still come out exact, just "chain" your calculations together like this
8x300÷15 or
300÷15x8 or
300x8÷15
all should give you 160
To predict the number of times you will pick a red marble, we need to first determine the total number of marbles in the set and find the proportion of red marbles out of the total.
In this case, the total number of marbles is:
3 (white marbles) + 8 (red marbles) + 3 (blue marbles) + 1 (black marble) = 15 marbles.
Now, we'll calculate the proportion of red marbles by dividing the number of red marbles by the total number of marbles:
8 (red marbles) / 15 (total marbles) = 0.53.
This means that approximately 53% of the marbles are red.
To predict the number of times you will pick a red marble out of 300, you can use this proportion. Multiply 0.53 (the proportion of red marbles) by 300 (the total number of picks):
0.53 (proportion of red marbles) * 300 (total picks) = 159.
So, based on these calculations, you can predict that you will pick a red marble approximately 159 times out of 300 draws.