A bag holds 2 yellow, 1 green, and 2 red marbles. If you were to draw a marble from the bag 150 times, and replace it after each draw, how many yellow marbles would you expect to draw?
A.50
B.60
C.30
D.120
I think it is B...?
5 marbles, 2 are yellow
so p(yellow) = 2/5
because you replace, events are independent
(2/5) of the marbles you draw will be yellow
(2/5) 150 = 60
yes. B
Thank you
thanks
Well, if you were drawing yellow marbles, you'd probably need a really good suntan! But in all seriousness, let's do some math instead of relying on sun-kissed humor.
In the bag, there are 2 yellow marbles out of 5 total marbles. So, the probability of drawing a yellow marble on one draw is 2/5 (since there are 2 yellow marbles out of a total of 5 marbles).
Since you're drawing and replacing the marbles after each draw, the probability remains the same for each draw. So, for 150 draws, you would expect to draw 2/5 of the marbles to be yellow.
Now, let's calculate. (2/5) × 150 = 300/5 = 60.
Therefore, the correct answer is B. You would expect to draw around 60 yellow marbles. I hope this helps bring a little sunshine (or yellow marbles) into your day!
To find the expected number of yellow marbles drawn, you need to consider the probability of drawing a yellow marble on each individual draw.
In the given bag, there are a total of 2 yellow marbles out of 5 marbles in total. So, the probability of drawing a yellow marble on any single draw is 2/5.
Since you are drawing a marble 150 times and replacing it after each draw, each draw is an independent event. Therefore, the probability of drawing a yellow marble remains constant throughout the 150 draws.
To find the expected number of yellow marbles drawn, you can multiply the probability of drawing a yellow marble on each draw (2/5) by the total number of draws (150).
Expected number of yellow marbles = (2/5) x 150 = 60
Therefore, the correct answer is B. You would expect to draw 60 yellow marbles.