Question

there are 3 red, 1 blue and 2 purple marbles in a bag. once a marble is selected, it is replaced. what is the probability of picking a purple and blue? P (purple and blue)

Answer 1

here

Explanation:

There are total (3 purple + 4 orange + 1 green) = 8 marbles in the bag . Now, 2 marbles out of 8 marbles can be selected in C(8,2) = 8!/2!6! = 28 no. of ways . And 2 purple marbles out of 3 purple marbles can be selected in C(3, 2)

= 3!/2! 1! = 3 no. of ways. Hence the required probability = 3/28

Answer 2

1/15

Explanation:

3 red, 1 blue, 2 purple

P of purple and blue is the

P of purple * P blue =

(2purple/(3+1+2) )* (1blue/ (3+1+2-1)) = (2/6) * (1/5) = 2/30 = 1/15