Answer:
a =4/9 = Both cards red
b =2/9 = 1st red 2nd black
c =8/12 = 2/3 simplified even numbers
d= 8/12 = 2/3 simplified sum adds to 8
Step-by-step explanation:
a) Both cards are red see b) 2/3 x 2/3 = 4/9
Answer 4/9
b) One of each colour red selected 1st then black
Answer = 2/3 x 1/3 = 2/9
Answer = 2/9
b) workings
(P2)Any colour RED
(P2)= S1: ( 2/3, 2/3, 1/3)
(P2) = S2: (2/3, 2/3, 1/3)
RED = 1 x 2/3 x 1/3 = 2/9 first card and second card BLACK= 1 x 1/3 = 1/3
Final = 2/9 x 1/3 = 2/9
Answer = 2/3 x 1/3 = 2/9
c)
(P3) Even numbers
(P3)= S1: ( 2/3, 1/3, 2/3)
(P3) = S2: (2/3, 1/3, 2/3)
12 events 7 outcomes see chart below as two even numbers added will always be even numbers and so will two odds including 5+5 = 10
Answer = 8/12
d)
(P4 ) Numbers that multiply to greater than 8
2 + 2 = 4
2 + 2 = 4
2 + 5 = 7
2 + 8 = 10
5 + 5 = 10
5 + 5 = 10
5 + 2 = 7
5+ 8 = 13
8 + 8 = 16
8 + 8 = 16
8 + 2 = 10
8 + 5 = 13
= 12 events either card and 8 opportunities
Answer = 8/12 simplified = 2/3
