An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up.

(a) list the elements corresponding to the event a that the sum is greater than 7;
(b) list the elements corresponding to the event b that a number greater than 5 comes up on the green die;
(c) list the elements corresponding to the event a ∩ b

A ≡ { ( 2, 6 ), (  3, 5 ), ( 3, 6 ), ( 4, 4 ), (  4, 5 ), ( 4, 6 ), ( 5, 3 ), ( 5, 4 ), (  5, 5 ), ( 5, 6 ), ( 6, 2 ), ( 6, 3 ), ( 6, 4 ), (  6, 5 ), ( 6, 6 ) }

B ≡ { ( 6, 1 ), ( 6, 2 ), ( 6, 3 ), ( 6, 4 ), (  6, 5 ), ( 6, 6 ) }

A ∩ B ≡ { ( 6, 2 ), ( 6, 3 ), ( 6, 4 ), (  6, 5 ), ( 6, 6 ) }

Step-by-step explanation:

Tossing a pair of dice, one green and one red we will have 36 number of outcomes that is below

Let the first outcome be of green and second outcome be of red.

{ ( 1, 1 ), ( 1, 2 ), ( 1, 3 ), ( 1, 4 ), (  1, 5 ), ( 1, 6 )

 ( 2, 1 ), ( 2, 2 ), ( 2, 3 ), ( 2, 4 ), ( 2, 5 ), ( 2, 6 )

 ( 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 ) }

Now,

a ) List the elements corresponding to the event A that the sum is greater than 7.

A ≡ { ( 2, 6 ), (  3, 5 ), ( 3, 6 ), ( 4, 4 ), (  4, 5 ), ( 4, 6 ), ( 5, 3 ), ( 5, 4 ), (  5, 5 ), ( 5, 6 ), ( 6, 2 ), ( 6, 3 ), ( 6, 4 ), (  6, 5 ), ( 6, 6 ) }

b ) List the elements corresponding to the event B that a number greater than 5 comes up on the green die.

B ≡ { ( 6, 1 ), ( 6, 2 ), ( 6, 3 ), ( 6, 4 ), (  6, 5 ), ( 6, 6 ) }

c ) List the elements corresponding to the event A ∩ B.

A ∩ B ≡ { ( 6, 2 ), ( 6, 3 ), ( 6, 4 ), (  6, 5 ), ( 6, 6 ) }

1.0

step-by-step explanation:

black/brown

step-by-step explanation:

well, you see here, jamal was born to 2 parents, his mother who he lives with and his father who left at a young age and who happens to be younger than him. he stole cookies because he has to steal food due to the fact that he spends his government poverty checks on pot and women.