Laurissa rolls two number cubes, each with the numbers 1 through 6. Laurissa adds the numbers that appear on the roll Which two sums have an equal chance of occurring?

2 and 12;

4 and 10;

5 and 9

6 and 8

Step-by-step explanation:

Given

Roll of two number cubes

Required

Determine the sums which have equal chance

Represent the sample space of both number cubes with S1 and S2

Next, get the outcome of roll two number cubes

Outcome =

Next, get the sample space;

Reorder from lowest to highest

Next, form a frequency table

Sum -- Frequency

2 ----  -- 1

3 ----  -- 2

4 ----  -- 3

5 ----  -- 4

6 ----  -- 5

7 ----  -- 6

8 -----  -- 5

9 - ------ 4

10 ---  -- 3

11 --- ---- 2

12 ------ 1

From the above table, we can now determine the two sums that have equal probability;

The two sums that have equal probability have the same frequency;

Hence;

2 and  12 have the same chance of occurring

4 and  10 have the same chance of occurring

5 and  9 have the same chance of occurring

6 and  8 have the same chance of occurring

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

is there supposed to be a diagram or a graph for this one? ?

step-by-step explanation: