A fair 6 sided die is rolled five times. What is the probability that the sequence of rolls is 4,6,1, 5, 3?

Probability = 1/7776

Step-by-step explanation:

We know that probability is given by:

Probability = No. of Desirable outcomes / Total no. of outcomes.

If a die is rolled 5 time, we need to find the probability that the sequence of rolls is 4, 6, 1, 5, 3.

If a die is rolled first time, the probability that it will get 4 is:

Probability (4) = 1/6

Similarly if a die is rolled second time, the probability that it will get a 6 is:

Probability (6) = 1/6

Similarly the probability of each number on each roll is 1/6

To find the collective probability of 5 rolls, we'll multiply all the 5 probabilities to get the answer.

Probability = P(4) · P(6) · P(1) · P(5) · P(3)

Probability = 1/6 · 1/6 · 1/6 · 1/6 · 1/6

Probability = 1/7776

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

the answer is d. (1.2, -4.7) on edgn

hope this !