Bilal's favorite colors are red and green.

He has 1 red shirt, 1 green shirt, 1 red hat, 1 green scarf, 1 red pair of pants, and

1 green pair of pants.

Bilal selects one of these garments at random. Let A be the event that he selects a green garment and let

B be the event that he chooses a scarf.

P (A∪B) = 1/3

Step-by-step explanation:

Red Garments = 1 red shirt + 1 red hat + 1 red pairs of pants

Total Red Garments = 3

Green Garments = 1 green shirt + 1 green scarf + 1 green pairs of pants

Total Green Garments = 3

The total number of garments = Total Red Garments + Total Green Garments:

3 + 3 = 6

Let A be the event that he selects a green garment

P (A) = Number of required outcomes/Total number of possible outcomes

P (A) = 3/6

Let B be the event that he chooses a scarf

P (B) = 1/6

The objective here is to determine P (A or B) = P (A∪B)

Using the probability set notation theory:

P (A∪B) = P (A) + P (B) - P (A∩B)

P (A∩B) = Probability that a green pair of pant is chosen = P (A) - P (B)

= 3/6-1/6

= 2/6

P (A∪B) = 1/2 + 1/6 - 2/6

P (A∪B) = 2/6

P (A∪B) = 1/3

in the khan academy answer is both A and B are dependent on each other.