Question 1056138: 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 th probabilty that the product will be :
1) and even number
2) an odd number
3) 18
D) Draw a venn diagram to illustrate the samplenspace(S) of this experiment and events E_even product and O_odd product
E) Why are events E and O mutually exclusive
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! I'm assuming they're numbered 1-4.
A)
1,1=1
1,2=2
1,3=3
1,4=4
2,1=2
2,2=4
2,3=6
2,4=8
3,1=3
3,2=6
3,3=9
3,4=12
4,1=4
4,2=8
4,3=12
4,4=16
B) {1,2,3,4,6,8,9,12,16}={1,3,9}+{2,4,6,8,12,16}
C) Nine total outcomes, 3 odd, 6 even.
1.
2.
3.
.
.
.
 .
.
.
.
E) No common elements, you can either be odd or even but not both.
Answer by ewatrrr(24785)  (Show Source):
You can put this solution on YOUR website! Use Visual for counting purposes:
__1__2__3__4__5__6
1|_1__2__3__4__5__6
2|_2__4__6__8_10_12
3|_3__6__9_12_15_18
4|_4__8_12_16_20_24
5|_5__10_15_20_25_30
6|_6__12_18_24_30_36
A) the possible outcomes: 36
B) the sample space: above
C) Calculate th probabilty that the product will be :
1) and even number: count/36
2) an odd number: count/36
3) 18: count/36
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: Use Definition
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