Answer: 1/52
Step-by-step explanation:
A deck of cards contains 52 cards
Red cards are numbered 1,2,3
Blue cards are numbered 1,2,3,4,5,6
Green cards are numbered 1,2
Number of Red card = 3
Number of blue card = 6
Number of Green card = 2
Let Pr(R) = Probability of picking a Red card
Let Pr(B) = probability of picking a blue card
Let Pr(G) = probability of picking a green card
Let Pr(RE) = Probability of picking a red even card
Let Pr(RO) = probability of picking a red odd card
Let Pr(BE) =probability of picking a blue even card
Let Pr(BO) = probability of picking a blue odd card
Let Pr(GE) = probability of picking a green even card
Let Pr(GO) = probability of picking a green odd card
Pr(R) = 3/52
Since we have 3 red cards,
Pr(RE) = 1/3
Pr(RO) =2/3
Pr(B) = 6/52
= 3/26
Since we have 6 blue cards ,
Pr(BE) = 3/6
= 1/2
Pr(BO) = 3/6
= 1/2
Pr (G) = 2/52
= 1/26
Since we have 2 green cards,
Pr(GE) = 1/2
Pr(GO) = 1/2
The probability of picking a Green card and an odd green card is
Pr(G) n pr(GO)
1/26 * 1/2
= 1/52