SOLUTION: A single fair 6-sided die is rolled, and the events E and F are as follows: E={An even number shows} F={A number greater than 3 shows}. Find “the probability of event E OR event F

Algebra.Com
Question 1108842: A single fair 6-sided die is rolled, and the events E and F are as follows: E={An even number shows} F={A number greater than 3 shows}. Find “the probability of event E OR event F occurring”, P(E U F).
Answer by bhoopal624(2)   (Show Source): You can put this solution on YOUR website!
events of E={2,4,6} =>p(E)=3/6=1/2
events of F={4,5,6} =>p(F)=3/6=1/2
common events of E and F ={4,6} =>p(c)=2/6=1/3
P(E U F)=(1/2)+(1/2)-(1/3)
=2/3

RELATED QUESTIONS

a pair of fair dice is rolled. Let E denote the event that the number landing uppermost... (answered by edjones)
A single 6-sided die is rolled. What is the probability of rolling a number greater than... (answered by rothauserc,Boreal,math_helper)
A six sided fair die is rolled. Find the probability that the die shows a number smaller... (answered by ikleyn)
Two dice both four sided and fair are rolled simultaneously and the product of the two... (answered by Boreal)
A single 6-sided die is rolled. What is the probability of rolling an even or an odd... (answered by ikleyn)
A fair six sided die is rolled, find the probability that the number is even and a... (answered by ikleyn)
An ordinary (fair) die is a cube with the numbers through on the sides (represented by... (answered by stanbon)
An ordinary (fair) die is a cube with the numbers through on the sides (represented by... (answered by greenestamps)
Two dice both four sided and fair are rolled simultaneously and the product of the two... (answered by Fombitz,ewatrrr)