An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up. If x equals the outcome on the green die and y the outcome on the red die, the sample space S consists of all the possible ordered pairs (x.y). Event A is the event that the sum is less than 7. Event B is the event that a 2 occurs on either die. Event C is the event that a number greater than 2 comes up on the green die. Assume that all elements of the sample space are equally likely to occur. Complete parts (a) through (c) belov E Click the icon to view the sample space. (a) Find the probability of event A. 5 P(A) = (Type an integer or a simplified fraction.) 12 (b) Find the probability of event C. Sample Space - X P(C) = E (Type an integer or a simplified fraction.) (1,1) (2,1) (3,1) (4,1) (5,1) (6,1) (1,2) (2.2) (3.2) (4,2) (5.2) (6,2) (1,3) (2.3) (3.3) (4,3) (5.3) (6,3) (1,4) (2,4) (3,4) (4,4) (5,4) (6,4) (1,5) (2.5) (3,5) (4,5) (5,5) (6,5) (1,6) (2.6) (3.6) (4,6) (5.6) (6,6) (c) Find the probability of event Anc. P(ANC) =D Type an integer or a simplified fraction.)

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please show me how you got the answer i am completely confused. i got the first two parts a and b. i just need c

An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up. If x equals the outcome on the green die and y the outcome on the red die, the sample space S consists of all the possible ordered pairs (x,y). Event A is the
event that the sum is less than 7. Event B is the event that a 2 occurs on either die. Event C is the event that a number greater than 2 comes up on the green die. Assume that all elements of the sample space are equally likely to occur. Complete parts (a) through (c) below.
E Click the icon to view the sample space.
(a) Find the probability of event A.
P(A) =
(Type an integer or a simplified fraction.)
(b) Find the probability of event C.
- X
Sample Space
P(C) =
(Type an integer or a simplified fraction.)
(1,1)
(1,2)
(1,3)
(1,4)
(1,5)
(1,6)
(c) Find the probability of event Anc.
(2,1)
(2,2)
(2,3)
(2,4)
(2,5)
(2,6)
P(AnC)= (Type an integer or a simplified fraction.)
(3,1)
(3,2)
(3,3)
(3,4)
(3,5)
(3,6)
(4,1)
(4,2)
(4,3)
(4,4)
(4,5)
(4,6)
(5,1)
(5,2)
(5,3)
(5,4)
(5,5)
(5,6)
(6,1)
(6,2)
(6,3)
(6,4)
(6,5)
(6,6)
Print
Done
Transcribed Image Text:An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up. If x equals the outcome on the green die and y the outcome on the red die, the sample space S consists of all the possible ordered pairs (x,y). Event A is the event that the sum is less than 7. Event B is the event that a 2 occurs on either die. Event C is the event that a number greater than 2 comes up on the green die. Assume that all elements of the sample space are equally likely to occur. Complete parts (a) through (c) below. E Click the icon to view the sample space. (a) Find the probability of event A. P(A) = (Type an integer or a simplified fraction.) (b) Find the probability of event C. - X Sample Space P(C) = (Type an integer or a simplified fraction.) (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (c) Find the probability of event Anc. (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) P(AnC)= (Type an integer or a simplified fraction.) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) Print Done
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