(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

2. Let a random experiment be the cast one “six-sided” die and one “four-sided” die.

(a) Give an example of two independent events and justify your answer.

(b) Give an example of two dependent events from this sample space and justify your answer.

2. Relevant equations

Independent event:

P(A ∩ B) = P(A) * P(B|A) = P(A) * P(B)

Dependent event:

Not Independent, i.e. P(A) * P(B) = P(A ∩ B)

3. The attempt at a solution

A = {(1,1), (1,2)}

B = {(1,1), (2,1)}

P(B) = P(B|A) = P(A ∩ B)/P(A) = (1/24)/(2/24) = 1/2

P(B) is not equal to 1/2

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Probability: Independent vs. Dependent events

**Physics Forums | Science Articles, Homework Help, Discussion**