Question

Fan and medal! Thank you so much♥

The sample space for a roll of two number cubes is shown in the table.

(1,1)|(1,2)|(1,3)|(1,4)|(1,5),(1,6)
(2,1)|(2,2)|(2,3)|(2,4)|(2,5)|(2,6)
(3,1)|(3,2)|(3,3)|(3,4)|(3,5)|(3,6)
(4,1)|(4,2)|(4,3)|(4,4)|(4,5)|(4,6)
(5,1)|(5,2)|(5,3)|(5,4)|(5,5)|(5,6)
(6,1)|(6,2)|(6,3)|(6,5)|(6,5)|(6,6)
The two numbers rolled can be added to get a sum. Find P(sum is less than 4)

A. 1/12
B. 5/36
C. 2/9
D. 11/12

Answer 1

How many different outcomes are there in the sample space?

Answer 2

Is the correct answer B?

Answer 3

No.
Once again, how many different outcomes are there?

Answer 4

can someone help me with my question pls i dont mean to interupt

Answer 5

12?
There are 6 outcomes per line, and there are 6 lines.
What is 6 * 6?

Answer 6

36

Answer 7

Correct.
Now count how many outcomes have a sum of less than 4.

Answer 8

Remember, we need "less than 4", so you want sums of only 2 and 3.

Answer 9

Here are some of the smaller sums in red.
How many are less than 4?

(1,1) Sum \(\color{red}{2}\)|(1,2) Sum \(\color{red}{3}\)|(1,3) Sum \(\color{red}{4}\)|(1,4)|(1,5),(1,6)
(2,1) Sum \(\color{red}{3}\)|(2,2)Sum \(\color{red}{4}\)|(2,3) Sum \(\color{red}{5}\)|(2,4)|(2,5)|(2,6)
(3,1) Sum \(\color{red}{4}\)|(3,2) Sum \(\color{red}{5}\)|(3,3)|(3,4)|(3,5)|(3,6)
(4,1) Sum 5|(4,2)|(4,3)|(4,4)|(4,5)|(4,6)
(5,1)|(5,2)|(5,3)|(5,4)|(5,5)|(5,6)
(6,1)|(6,2)|(6,3)|(6,5)|(6,5)|(6,6)

Answer 10

Is the correct answer A?

Answer 11

Right.
There are 3 sums under 4: (1,1), (1, 2), (2, 1)
3/36 = 1/12
A is correct.

Answer 12

OMG thank you so much and thank you for your patience with me!

Answer 13

You're welcome.