Question

Two dice are rolled simultaneously. What is the probability that 6 will come up at least once?

Options

• `1/6`

• `7/36`

• `11/36`

• `13/36`

Answer 1

`11/36`

Explanation:

First dice	Second dice
		1	2	3	4	5	6
	1	(1, 1)	(1, 2)	(1, 3)	(1, 4)	(1, 5)	(1, 6)
	2	(2, 1)	(2, 2)	(2, 3)	(2, 4)	(2, 5)	(2, 6)
	3	(3, 1)	(3, 2)	(3, 3)	(3, 4)	(3, 5)	(3, 6)
	4	(4, 1)	(4, 2)	(4, 3)	(4, 4)	(4, 5)	(4, 6)
	5	(5, 1)	(5, 2)	(5, 3)	(5, 4)	(5, 5)	(5, 6)
	6	(6, 1)	(6, 2)	(6, 3)	(6, 4)	(6, 5)	(6, 6)

Total Number of outcomes = 36

Number of outcomes where 6 will come up at least once = 11

The probability that 6 will come at least once = `"Number of outcomes where 6 will come at least once"/"Total number of outcomes"`

= `11/36`