The sum of the probabilities of picking a white, black, and yellow pair of socks must equal 1. Let's call the probability of picking a yellow pair of socks "y". Then we can set up the following equation:
start fraction 4 over 9 end fraction + start fraction 7 over 18 end fraction + y = 1
To solve for y, we first need to find a common denominator for the fractions on the left side:
start fraction 8 over 18 end fraction + start fraction 7 over 18 end fraction + y = 1
Combining the first two fractions, we get:
start fraction 15 over 18 end fraction + y = 1
Subtracting 15/18 from both sides, we get:
y = start fraction 3 over 18 end fraction
Simplifying the fraction, we get:
y = start fraction 1 over 6 end fraction
Therefore, the probability of picking a yellow pair of socks is (A) start fraction 1 over 6 end fraction.
Suppose you have a drawer full of white, black, and yellow pairs of socks. If the probability of picking a white pair of socks is four-ninths, and the probability of picking a black pair of socks is
start fraction 7 over 18 end fraction, what is the probability of picking a yellow pair of socks?
A. start fraction 1 over 6 end fraction
B. Start Fraction 5 over 12 End Fraction
C. Start Fraction 7 over 15 End Fraction
D. Start Fraction 16 over 27 End Fraction.
1 answer
1 answer