Less than or greater than what?
1.25 /5
12/5 = 2 with 2 left over
25/5 = 5
2 numbers
1.25 /5 = .25
Each person gets .25 of a pizza
F: R → R is given by, f(x) = [x]
It is seen that f(1.2) = [1.2] = 1, f(1.9) = [1.9] = 1
So, f(1.2) = f(1.9), but 1.2 ≠ 1.9
f is not one-one
Now, consider 0.7 ε R
It is known that f(x) = [x] is always an integer. Thus, there does not exist any element x ε R such that f(x) = 0.7
So, f is not onto
Hence, the greatest integer function is neither one-one nor onto.
The answer was quite complicated but I hope it will help you.
Let the token profit be X.
For a win, the profit is 2 tokens.
For a loss, the profit is -3 tokens.
The probability of a win is
<span><span>212</span>+<span>212</span>+<span>212</span>=<span>612</span>=<span>12</span></span>
the probability of a loss is
<span><span>612</span>=<span>12</span></span>
Setting up a probability distribution variable gives:
<span>E(X)=(−3×<span>12</span>)+(2×<span>12</span>)=−1<span>12</span>+1=−<span>12</span> token</span><span>
Therefore, on average, the player would expect to lose a half a token per game.</span>
