You are throwing darts at a dart board. you have a 1/ 6 chance of striking the bull's-eye each time you throw. if you throw 3 times, what is the probability that you will strike the bull's-eye all 3 times?

Step-by-step explanation:

By binomial distribution formula:

, where n is the number of trials , r is the number of success, p is the probability of success and q is the probability of failure.

Given: The probability of striking the bull's eye =

The probability of not striking the bull's eye =

Number of throw, n=3

Number of success, r=3

Now, the probability that you will strike the bull's-eye all 3 times is given by :-

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

46 dollars is the answer.

step-by-step explanation:

6*6 = 36,         36+10=46