A bag contains 2 red checkers and 6 black checkers. A checker is selected, kept out of the bag, and then another checker is selected. What is P(black, then red)?

Bergen

Bergen

Answered question

2020-12-22

A bag contains 2 red checkers and 6 black checkers. A checker is selected, kept out of the bag, and then another checker is selected. What is P(black, then red)?

Answer & Explanation

oppturf

oppturf

Skilled2020-12-23Added 94 answers

There are 6 black checkers out of the 8 checkers so the probability of selecting a black checker on the first draw is:
P(black first)=68=34
Since the checker is not replaced, then there are now 7 checkers left so the probability of selecting a red checker on the second draw is:
P(red second)=27
So, the probability of drawing a black checker first, then a red checker second is:
P(black, the red)=(34)(27)
P(black, the red)=628
P(black, the red)=314

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