Your teacher has the same hat with numbers 1,2,3,4,5,6,7,8,9,10,11 and 12 in it. She wants you to take two turns drawing a number. After the first time you draw, you will put the number back in the hat before drawing again. What are the chances that you will draw 4 two times in a row

Question

Mathematics

Ashanti Graves

4 October, 15:10

Your teacher has the same hat with numbers 1,2,3,4,5,6,7,8,9,10,11 and 12 in it. She wants you to take two turns drawing a number. After the first time you draw, you will put the number back in the hat before drawing again. What are the chances that you will draw 4 two times in a row

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Answers (1)

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German Callahan · Answer 1

0.0069 = 0.69%

Step-by-step explanation:

We have 12 total numbers. The chance of drawing exactly the number 4 is 1/12, as we have just one number 4 inside the 12 numbers.

As the number will be put back in the hat after the first draw, the probability for the second draw will be the same, as we will still have just one number for inside the 12 numbers.

As the events (the first and second draw) are independent from each other, we can just multiply the probabilities, so the probability of drawing 4 two times in a row will be:

(1/12) * (1/12) = 1/144 = 0.0069 = 0.69%