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
Not only in mathematics, scientific proof also are required in the other field of science. Also maths proofs are of particular structure, containing steps and logics. So proving is like doing science, it is science. That's why it is important to prove.
