Question

I don't understand this. I don't get exactly what I'm supposed to do with the P(parenthes) thingy or how each question differs from the next.

Theoretical and Experimental Probability: A number cube with the numbers 1 through 6 is rolled. Find the given probability.


1. P(number < 2)

a. 1/6

b. 2/6

c. 4/6

d. 3/6



2. P(number ≥ 3)

a. 4/6

b. 1/6

c. 2/6

d. 5/6



3. P(complement of 4)

a.

b.

c.

d.

Answer 1

there is only one number less than 2, and six possible throws. So,
P(n<2) = 1/6

Similarly,

P(n>=3) = P(n∊{3,4,5,6}) = 4/6 = 2/3
P(n≠4) = 1-P(n=4) = 1 - 1/6 = 5/6

Answer 2

Thank you!