Answer: Second option is correct.
Explanation:
Since we have given that
And
To find the remainder, we use the Remainder Theorem, which states that when f(x) is divided by (x-c) then the f(c) is the required remainder.
So,
Here, we have,
So, we will find f(-2) which will give us the required remainder,
Hence, Second option is correct.
Answer:
(a)$67
(b)You are expected to win 56 Times
(c)You are expected to lose 44 Times
Step-by-step explanation:
The sample space for the event of rolling two dice is presented below
Total number of outcomes =36
The event of rolling a 5 or a 6 are:
Number of outcomes =20
Therefore:
P(rolling a 5 or a 6)
The probability distribution of this event is given as follows.
First, we determine the expected Value of this event.
Expected Value
Therefore, if the game is played 100 times,
Expected Profit =$0.67 X 100 =$67
If you play the game 100 times, you can expect to win $67.
(b)
Probability of Winning
If the game is played 100 times
Number of times expected to win
Therefore, number of times expected to loose
= 100-56
=44 times