four red balls and three green balls are placed in a bag. if you take two of the balls out of the bag without replacement, what is the probability that both balls are red? (enter your probability as a fraction.)



Answer :

The probability of both balls being red is 2/7

Given that there are four red balls and three green balls in a bag and two of the balls are out of the bag without replacement.

We must find the probability that both balls are red.

Let us consider,

Probability of drawing a red ball = 4 red balls / 7 total balls

1st draw is (4/7)

None are replaced, (put back in the bag) so now there are 3 red balls in a bag of 6 total balls.

2nd draw is 3/6 = (1/2)

Multiply the probabilities together to find the chance of drawing red 2 times in a row.

= (4/7) * (1/2)

= 2/7

Hence, the probability that both balls are red is 2/7

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