A lottery is played with 40 numbers in the universe. A lottery ticket contains 6 distinct numbers. There are only two possibilities. You won 10 million dollars if your ticket exactly matches the 6 winning numbers. Otherwise you lose. There are no other prizes. A ticket costs $1. What is the expected value of this $1 ticket

The right answer is "1.6053".

Step-by-step explanation:

According to the question,

The expected value will be:

=

As we know,

The probability of winning the lottery will be:

=

So that, the expected value is:

=

=

=

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9