Math, asked by ParveenGill8857, 1 year ago

A box contains 2 white 3 red and 2 black balls another box b contains 4 white to red and 3 black balls if two balls are drawn at random without replacement from a randomly selected box and one boy turns out to be white while the other world turns out to be red then the probability that both balls are drawn from the box be is

Answers

Answered by amitnrw
0

Probability that both balls are drawn from the box b = 7/16

Step-by-step explanation:

A box contains 2 white 3 red and 2 black balls

Total Balls = 7

Probability of one white & 1 Red from box A

= (2/7)(3/6)  + (3/7)(2/6)

= 12/42

= 2/7

B box contains 4 white 2 red and 3 black balls

Total Balls = 9

Probability of one white & 1 Red from Box B

= (4/9)(2/8)  + (2/9)(4/8)

= 16/72

= 2/9

probability that both balls are drawn from the box b =  (2/9)/(2/9 + 2/7)

= (2/9)/((14 + 18)/63)

= 2 * 7 / 32

= 7 /16

probability that both balls are drawn from the box b = 7/16

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