Two fair number cubes are rolled. The table below shows the possible outcomes for each number cube and their sum. + 1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12

What is the theoretical probability of rolling two numbers with a sum less than 6?

The easiest method is to draw a possibility space first. The grid shows the totals for two dice. There are: 6×6=36 possible outcomes. Of these there are 10 totals which are less than 6.

Step-by-step explanation:

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6/36  or 1/6 either answer is correct. but you must show your workings for 6/36

Step-by-step explanation:

We look at the data within each line that shows 1,2,3,4,5,6 both horizontal shows match with vertical.

We count 10 possible outcomes that would show product of under  6 out of 36 events = 6/36

If it asks to simplify we see 6 divides into 6 and 36 = 1/6

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

where did you get them? if you picked from the grass, is is probably poisonous.

step-by-step explanation: