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rikac72791
23.07.2019 •
Mathematics
Adrawer contains 8 white and 2 black socks. two socks are randomly selected from the drawer. what is the probability they are the same color?
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Ответ:
First work out the probability for getting 2 whites in a row.
It is the number of whites divided by the overall number of socks so 8/10.
Then, work the probability of doing it for a second time. This is 7/9 since you took away a sock.
Now multiply 8/10 x 7/9 so 56/90.
56/90 is the probability of getting two whites in a row, but you now need to work out the probability of two blacks.
By the same process, you can work out that the calculation is 2/10 x 1/9, so 2/90.
To work out the total probability of two of the same colour, you add the probabilities of 2 whites and 2 blacks, so it is 56/90 + 2/90, so 58/90, which can be simplified to 29/45.
Your final answer is 29/45.
Ответ: