i) Are these events independent? If so, why? If not, why?

ii) What is the probability of the sum of two dice is 5 and the sum of the dice is 11?
by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

There are 4 ways the sum of the dice is 5: 1+4, 4+1 and 2+3 and 3+2, out of 36 possible outcomes.

There are only two ways the sum of the dice is 11: 5+6 and 6+5.

(i) The probabilities are different but one event cannot be said to cause the other. In that sense they are independent. 

(ii) The probability of the sum of 5 is 4/36=1/9. The probability of the sum of 11 is 2/36=1/18.

 

by Top Rated User (781k points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
85,299 questions
90,693 answers
2,172 comments
98,654 users