Solution -
The probability of getting 6 from a single roll of a fair dice = 
The probability of getting any other number rather than 6 would be
So when the outcome is 6, then he wins $5 ,otherwise he has to pay $2
So
E(X) = Expectation value =
( ∵ $5 gain so +ve and $2 loss so -ve)
=
∴ So Merrill will lose
dollar
How I was taught: Make sure both numbers are a fraction. If not put "1" as the denominator. Multiply straight across. Simplify if you can.
I = PRT
$360 = $8000 x R X 1
$360 = $8000 X R
$360/$8000 X R /$8000
0.045 = R
R= 0.045 * 100
R = 4.5%
Three cards are selected from a standard deck of <span>52 </span><span>cards. Disregarding the order in which they are drawn, the possible outcomes are </span><span><span>(<span>52/3</span>)</span></span><span>. Out of these, how many include all cards of the same color (say red)? There are </span><span><span>(<span>13/3</span>)</span></span><span> ways in which you can get all 13 red cards.</span>