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

A
1
3
6
​36
​
​1
​​

B
1
6
​6
​
​1
​​

C
1
1
4
4
​144
​
​1
​​

D
1
2
​2
​
​1
​​

Answer 1

B. 1/6

The probability of drawing a 4 the first time is 1/12. Since you put the number back in the hat before drawing again, the probability of drawing a 4 a second time is also 1/12.

Therefore, the overall probability of drawing a 4 two times in a row is (1/12) * (1/12) = 1/144. Simplifying, we get 1/6.