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Aneli [31]
3 years ago
14

There are 12 brown socks and 6 blue socks in a drawer. In the dark, Jason pulls out a sock and puts it on his right foot. Then h

e pulls out another sock and puts it on his left foot.
What is the probability that Jason has two blue socks on his feet?
Mathematics
1 answer:
dedylja [7]3 years ago
7 0

The probability that Jason has blue socks is \frac{5}{51}

<u>Solution:</u>

Given, there are 12 brown socks and 6 blue socks in a drawer.  

So, total number socks = 12 + 6 = 18 socks

In the dark, Jason pulls out a sock and puts it on his right foot.  

Now, let the probability of pulled sock to be blue sock

=\frac{\text {number of blue socks}}{\text {total number of socks}}=\frac{6}{18}=\frac{1}{3}

Then, available socks = 18 – 1 picked sock = 17 socks and number of blue socks = 6 – 1 = 5

Then he pulls out another sock and puts it on his left foot

Now, the probability that second picked sock will also be blue = \text { probability of } 1 \text { sock } \times \frac{\text { blue socks count }}{\text { socks count }}

=\frac{1}{3} \times \frac{5}{17}=\frac{5}{51}

Hence, the probability that Jason has blue socks is \frac{5}{51}

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