Question

Two six sided dice (one is red, one is green) are rolled. Determined the following probabilities:
1)

What is the probability that the red die is even and the green die is odd? That is, P(R=even∩G=odd)

2)What is the probability that the sum of the red and green values is 8 .
3) What is the probability that the sum of the red and green values is <7 ? That is, P(R+G<7).

4) What is the probability that red value is ≤ green value? That is, P(R≤G)
5) What is the probability that red value ≤ green and the green value is <6 ? That is, P(R≤G∩G<6)

Answer 1

1 is .25 do you know why?

Answer 2

2 is 1/36

Answer 3

no

Answer 4

no sorry 7/36

Answer 5

ok for number 1 do you know that if you have two independent probabilities you multiply them to find their combined probability?

Answer 6

so the P(even dice roll)=.5 and P(odd dice roll)=.5 so .5•.5=.25

Answer 7

there like 2 dice(6*6=36)

Answer 8

i see, so is 1/4

Answer 9

\[\frac{ 3 }{ 6 } \times \frac{ 3 }{ 6 }=?\]

Answer 10

yea

Answer 11

that solve the first part, is 1/4

Answer 12

yea but i would use decimals unless it asks for fractions

Answer 13

k

Answer 14

ok so #2

Answer 15

there are 36 total combinations and only 7 add up to 8

Answer 16

so 7/36 would be the probability

Answer 17

k

Answer 18

sorry wait i didnt account for 1 so its 8/36 which can be simplified

Answer 19

1,7 2,6 3,5 4,4 4,4 5,3 6,2 1,7

Answer 20

those are the combos that add up to 8 for the red and green

Answer 21

16/36?

Answer 22

well no because there are 16 numbers but they come in pairs

Answer 23

so?

Answer 24

ya u are right

Answer 25

{1,7} , so on

Answer 26

yea

Answer 27

ok so #2 is?

Answer 28

2.
26,35,44,53,62
P=5/36

Answer 29

^^^^^

Answer 30

but its 6 not 5 because th 4,4 repeats

Answer 31

that solve second question

Answer 32

yea

Answer 33

correct.6/36

Answer 34

so #3 do you know what to do??

Answer 35

finding a numbers that is less that 7

Answer 36

yea but combos like {1,5} so on

Answer 37

but not =7 its <7

Answer 38

ya i notice that

Answer 39

12/36

Answer 40

try again

Answer 41

11,12,13,14,15,21,22,23,24,31,32,33,41,42,51first is G,second is Red
same is first Red,second is Green
P=30/36=5/6

Answer 42

try to make a diagram or draw it

Answer 43

already did

Answer 44

i miss some numbers