Hello, YogiBear21!

P(1st took STA2023) .= .3/101) Suppose that there are 10 candidates for a prospective job,

and only 3 of them have taken STA 2023 in the past.

If you select two candidates at random from these 10, what is the probability

that both candidates have taken STA 2023 in the past?

P(2nd took STA2023) .= .2/9

P(both took STA2023) .= .(3/10)·(2/9) .= .1/15 .≈ .7%

We are given: .P(A) = 0.2, .P(B) = 0.3#2) Suppose you are playing a game that involves a spinner with 4 possible results.

The spinner lands in the red zone 20% of the time, the yellow zone 30% of the time,

the green zone 35% of the time, and the purple zone 15% of the time.

Assume each spin is independent of all other spins.

In the game, you spin twice in a row on a single turn.

Let A = {1st spin of a turn lands in the red zone}

and B = {2nd spin of a turn lands in the yellow zone}.

In a single turn, what is P(A or B)?

. . Since the events are independent: .P(A ∩ B) = (0.2)(0.3) = 0.06

Formula: .P(A U B) .= .P(A) + P(B) - P(A ∩ B)

. . Therefore: .P(A U B) .= .0.2 + 0.3 - 0.06 .= .0.44