Question 1055911: Two dice both four sided and fair are rolled simultaneously and the product of the two numbers showing up is recorded
Tabulate :A) the possible outcomes
B) the sample space
C) Calculate the probability that the product will be :
1) an even number
2) an odd number
3) 18
D) Draw a venn diagram to illustrate the sample space(S) of this experiment and events E-even product and O-odd product
E) Why are events E and O mutually exclusive?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! The sample space is {all possible outcomes}=(11,12,13,14,21,22,23,24,31,32,33,34,41,42,43,44}
The product will be even 3/4 the time, 12,14,21,22,23,24,32,34,41,42,43,44.
It will be odd 1/4 the time, 11,13,31,33
It will never be 18--null set.
Even and odd are mutually exclusive, because a number can not be both odd and even at the same time.
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