Question

Geometry-Conditional Probability Questions!!!

Independent Examples
What is the probability of a red cube and a white cube(numbered 1-6) both
landing on 3 if you know that the white cube landed on 3?

What is the probability of both cubes landing on odd numbers if you know that the white cube landed on 3?

3 .What is the probability of a penny, dime, and quarter all landing on tails if you
know that the quarter and penny landed on tails?


4. What is the probability of all 3 coins landing on tails if all you know is that the
quarter landed on tails?


Please help asap!!

Answer 1

9514 1404 393

Answer:

1. 1/6
2. 1/2
3. 1/2
4. 1/4

Explanation:

For independent events, P(A&B) = P(A) · P(B). Here, we have pairs of events, one of which is certain: P(B) = 1. This means the probability of the desired outcome (P(A&B)) is the probability of the uncertain outcome taken by itself (P(A)).

1. P(3) = 1/6 . . . . . . only one of the 6 outcomes is 3

2. P(odd) = 1/2 . . . . 3 of the 6 numbers are odd

3. P(tails) = 1/2 . . . . assuming a fair coin

4. P(tails&tails) = (1/2)(1/2) = 1/4 . . . . . . the unknown outcomes can be TT, TH, HT, or HH, all equally likely. P(TT) = 1/4.