Question

Please help with this question.

7. (14 points) A bag contains 7 marbles: 2 blue, 3 green, and 2 red. You randomly choose 2 marbles from the bag (without replacement). (a) What is the probability that both are green? (b) What is the probability that at least one of the two marbles is blue? (c) What is the probability that you select one of the marbles you select is blue and the other one is red? (d) What is the probability that both are green, given that the first one you select is green?

Answer 1

bag contains m= 2 Solution So Given Tolal Marble = n = 7 Blue Marble z Green Marble = man 3 Red Marble = M can P( Both are green) -P ma- n- 2 Sampling is without roblacement () - ** 7-1 al To one blue marbles - (6) Pl at least 1-P ( none of them is blue Marble) repet met mins 9 1 -(1) 3*)) 1-5x 4 = Mg th3 hal - 1 - 10 21 Ell al 다. 6.

P ( one is blue and one is red) - P( giant blue and second reed) + P ( firest Red and second blue ) m3 + m hu ll ny n न B = 4 21 Cal 1) GG bl 42 o lai (d) The probability th. Ead both are green given that the first one is ľ (second Green / First Green) First Gree is not raolaced le El olo w ]
The solution to this problem is given by