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there are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light what is the least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color

Sagot :

ppjahagi

Answer:

3/5

Step-by-step explanation:

To have the best chance of pulling a pair with the same color you should try to get a pair of black socks. There is a 3/5 chance of pulling a black sock so this means for every 5 socks you pull you get 3 black socks or 2 navy socks. Either way you will get a pair of socks with the same color. (Double check to make sure I'm correct)

The least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black and this can be determined by using the given data.

Given :

There are 18 black socks and 12 Navy socks in your drawer the room is dark and you cannot turn on the light.

The following steps can be used in order to determine the least number of socks that you have to take out of the drawer:

Step 1 - According to the given data, the total number of black socks is 18 and the total number of Navy socks is 12.

Step 2 - The probability that the socks come out is black socks is given below:

[tex]\rm P_b = \dfrac{18}{12+18}[/tex]

[tex]\rm P_b = \dfrac{18}{30}=\dfrac{3}{5}[/tex]

Step 3 - The probability that the socks come out is navy socks is given below:

[tex]\rm P_n = \dfrac{12}{12+18}[/tex]

[tex]\rm P_n=\dfrac{12}{30}=\dfrac{2}{5}[/tex]

Step 4 - Compare both the probability.

[tex]\rm P_b>P_n[/tex]

So, the least number of socks that you have to take out of the drawer to be certain that you have a pair of the same color is 5 and the color is black.

For more information, refer to the link given below:

https://brainly.com/question/795909

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