SOLUTION: Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. Define the following events:
E:{ The sum of the numbers is even }
F:{ The numbers are eq
Algebra.Com
Question 1168714: Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. Define the following events:
E:{ The sum of the numbers is even }
F:{ The numbers are equal }
Find the following probabilities:
(a) P(E)=
(b) P(F)=
(c) P(E∩F)=
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
There are 36 possible outcomes when rolling two fair 6-sided dice, regardless of whether they are the same or different colors. One way to make 2, two ways to make 3 and so on up through six ways to make 7 and then five ways to make 8, four ways to make 9, down to one way to make 12. Half of these 36 outcomes are even sums.
Six of the outcomes are "doubles".
All of event F are even sums, so P(E∩F) = P(F).
John
My calculator said it, I believe it, that settles it
I > Ø
RELATED QUESTIONS
Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. (answered by math_helper,ikleyn)
Two fair 6-sided dice are tossed, and the up face on each die is recorded. Find the... (answered by math_tutor2020)
Two fair dice are tossed, and the up face on each die is recorded. Find the probability... (answered by lynnlo)
Three fair dice, one white, one red and one black, are tossed and the number of spots on... (answered by stanbon)
Consider the experiment of rolling two dice (one die is blue and the other is red) and... (answered by robertb)
A bag contains 6 red dice and 10 blue dice. Two dice are selected at random. Find the... (answered by stanbon)
Two fair dice, one yellow and one blue, are rolled. The value of the blue die is... (answered by Fombitz)
Determine whether the events in the following situations are independent:
a. In a normal (answered by Boreal)
Q.1 Two cards are drawn from a well shuffled deck of 52 cards
without replacement.... (answered by Edwin McCravy)