There are six sides on each die. For each possible score on Die 1, there are six possible scores on Die 2. So the number of possible combinations is 6*6 = 36.
It follows that if the dice are thrown 36 times, you would expect each combination to come up once. 

We therefore simply need to know how many combinations add up to less than 5. (I've interpreted this as not including a total of 5 itself). 
These combinations are: 1 and 1, 2 and 1, 1 and 2, 2 and 2, 3 and 1, and 1 and 3 ---> six combinations out of 36. 

So you'd expect a sum less than 5 six times.

8 0

3 years ago

Rewrite with only sin x and cos x. sin 2x - cos x

morpeh [17]

$\bf sin(2\theta)=2sin(\theta)cos(\theta)\\\\
-------------------------------\\\\
sin(2x)-cos(x)\implies 2sin(x)cos(x)-cos(x)
\\\\\\
cos(x)[2sin(x)-1]$

3 0

3 years ago

Read 2 more answers

What number is exactly divisible by 9

butalik [34]

45, 90, 27, are all numbers dividible by 9

7 0

4 years ago

Read 2 more answers