anonymous
  • anonymous
Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below: Color of Marble Number of Times Rolled Blue 20 Green 18 Yellow 12 Heads Tails 28 22 Using Misha's simulation, what is the probability of pulling a blue marble and the coin landing tails up?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Answers 410/2500 440/2500 32/50 and 42/50
anonymous
  • anonymous
MEDAL!!!
jtvatsim
  • jtvatsim
Here's the plan: 1. Figure out the probability of getting a blue marble based on the tables. 2. Figure out the probability of getting tails on the coin based on the tables. 3. To get the probability of blue marble AND tails on the coin, we multiply our answers to step 1 and 2.

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anonymous
  • anonymous
uh ok
jtvatsim
  • jtvatsim
So, let's drill into the first part. "Probability of getting a blue marble." How many blue marbles did Misha get? Look at the table to find this.
anonymous
  • anonymous
20
jtvatsim
  • jtvatsim
Perfect! Next, we need to know how many marbles TOTAL there were.
anonymous
  • anonymous
50
jtvatsim
  • jtvatsim
That's right! So, the probability of getting a blue marble is found by taking: blue/total = 20/50 = 0.4 We just finished step 1.
anonymous
  • anonymous
ok
jtvatsim
  • jtvatsim
Now, for step 2, we basically do the same thing. How many tails were there? How many coin flips total?
anonymous
  • anonymous
22
jtvatsim
  • jtvatsim
Good on the tails. And if I'm counting correctly, I think there are 50 coin flips total.
anonymous
  • anonymous
yes your right
jtvatsim
  • jtvatsim
So that gives us tails/total = 22/50 = 0.44 Step 2 is done. Almost finished!
anonymous
  • anonymous
xd ok
jtvatsim
  • jtvatsim
Now, to get the probability of both happening (AND), we need to multiply the probabilities (if you are doing an OR problem, you would add the probabilities): So, we just have 0.4 * 0.44 = 0.176.
jtvatsim
  • jtvatsim
Unfortunately, they were mean and gave us fraction answers, but all we do is stick them in the calculator and see which one is 0.176.
anonymous
  • anonymous
ok
jtvatsim
  • jtvatsim
And, with some number punching....... Aha! Looks like it is 440/2500 = 0.176.
anonymous
  • anonymous
oh ok yes thank you so much
jtvatsim
  • jtvatsim
You are welcome. Nice work!
anonymous
  • anonymous
ty you too here a medal

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