**Step-by-step explanation:**

consider k the numbe of correct answers

P(k) = kC8×(0,2)^k×(0,8)^(8-k)

example:

The probability of having 2 correct answers = 2C8×(0,2)^2×(0,8)^(6) = 0.294

the probability that the number x or correct answer is fewer than 4 =

p(0) + p(1) + p(2) + p(3) = 0.944

**Answer:**

1/36

**Step-by-step explanation:**

1/6 for the inital four, one in sixth chance to continue the roll on another 6.

the likely hood of making both these (on the first try) is 1/6*1/6 = 1/36.

The correct answer would be (-6, 0).

**Answer:**

S = 23.6

**Step-by-step explanation:**

Since this is a right triangle, we can use trig functions

sin S = opp / hyp

sin S = 4/10

sin S = 2/5

Taking the inverse sin of each side

sin^-1 ( sin S) = sin ^-1 (2/5)

S=23.57817

Rounding to the nearest tenth

S = 23.6

**Answer:No **

**Step-by-step explanation:42.20/2=$21.10. 21.10x12=253.20$ for 12 tickets**

200$ is less than 253.20 so No is the answer