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anonymous
 one year ago
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?
anonymous
 one year ago
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?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Answers 410/2500 440/2500 32/50 and 42/50

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1Here'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.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1So, 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.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1Perfect! Next, we need to know how many marbles TOTAL there were.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1That'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.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1Now, for step 2, we basically do the same thing. How many tails were there? How many coin flips total?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1Good on the tails. And if I'm counting correctly, I think there are 50 coin flips total.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1So that gives us tails/total = 22/50 = 0.44 Step 2 is done. Almost finished!

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1Now, 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
 one year ago
Best ResponseYou've already chosen the best response.1Unfortunately, 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.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1And, with some number punching....... Aha! Looks like it is 440/2500 = 0.176.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok yes thank you so much

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1You are welcome. Nice work!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ty you too here a medal
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