High School

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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 [tex]P(\text{black, then red})[/tex]?

Answer :

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.

Total checkers = 2 red + 6 black = 8 checkers

p(black, then red)

Probability ( selecting checker) = [tex] \frac{numbe of selected checker }{total checkers} [/tex]

P( black) = [tex] \frac{6}{8} [/tex]

1 black is selected so remaining 7 checkers

P( red) = [tex] \frac{2}{7} [/tex]

p(black, then red) =[tex] \frac{6}{8} * \frac{2}{7} [/tex]

= [tex] \frac{12}{56} [/tex]

Divide numerator and denominator by 4

So P(black, then red) =[tex] \frac{3}{14} [/tex]

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Rewritten by : Barada

Total checkers = 2 + 6 = 8
P(black, then red) = (6/8)(2/7) = 3/14

Answer: 3/14