Adie is weighted in such a way that each of 2, 4, and 6 is three times as likely to come up as each of 1, 3, and 5. find the probability distribution. outcome 1 2 3 4 5 6 probability incorrect: your answer is incorrect. what is the probability of rolling less than 4?

Answer

The probability distribution outcomes for 1, 2,3,4,5,6 are

Pr(1) =1/12

Pr(2) = 1/4

Pr(3) = 1/12

Pr(4) = 1/4

Pr(5) = 1/12

Pr(6) = 1/4

B) the probability that the outcome is less than four = 5/12

Step by step explanation

Since 2, 4, and 6 is three times as likely to come up as each of 1, 3, and 5, the probability of picking either off or even is 1/12 without considering the assignment.

In consideration the assumption, probability of odd numbers will be 1/12 while the probability of picking even numbers will be 3*1/12= 1/4

Pr(1) =1/12

Pr(2) = 3*1/2= 1/4

Pr(3) = 1/12

Pr(4) = 3*1/12 = 1/4

Pr(5) = 1/12

Pr(6) = 3*1/12 = 1/4

B) the probability that the outcome is less than four = Pr(1) + Pr(2) + Pr(3)

= 1/12 +1/4 + 1/12

= 5/12

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.