3 years ago

5/6 x 3/20 as a fraction

Mathematics

1 answer:

Fantom [35]3 years ago

7 0

Answer:

1/8

Step-by-step explanation:

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Gretchen has eight socks, two of each color: magenta, cyan, black, and white. she randomly draws four socks. what is the probabi

Svetllana [295]

Begin by computing the number of all the possibilities:
It is given by the following formula: $C_8^4=\frac{8!}{4!(8-4)!}= \frac{8\times7\times6\times5}{4\times3\times2}=70$
Computing the number of favorable cases:
Exactly one pair of socks with the same color means either one magenta pair,
or one cyan pair, or one black pair or one white pair:
Number of possibilities with one magenta pair means"a magenta pair plus two socks with different colors from three possibilities" means 3 possibilities.
Same computation for the other colors.
Adding we get: $3+3+3+3=12\text{ possibilities }$
By definition, the probability of an event is the number of favorable cases over the number of possible cases:
$\frac{12}{70}= \frac{6}{35}$

The probability is $\frac{6}{35}$