There are 12 socks in a drawer: 4 black, 6 white, and 2 blue. Anthony will choose one sock from the drawer and record its color. Without replacing the sock, he will choose a second sock and record its color. What is the probability of choosing a black sock and then a white sock?

Respuesta :

Answer:

6/33

Step-by-step explanation:

The total is 12 if u pick a black sock then the probability of it is 4/12 or 1/3

The probability of not replacing it and picking a white sock is 6/11

Now u just multiply 1/3 times 6/11 equals 6/33

Hope this helps

The probability of choosing a black sock and then a white sock is 2/11.

What is probability?

Probability is possibility that "deals with occurrence of random event".

According to the question,

Number of socks in a drawer = 12 socks

Number of socks in white color =  6 socks

Number of socks in black color = 4 socks

Number of socks in blue color = 2 socks

Formula for Probability = [tex]\frac{Number of favourable events }{Total number of events}[/tex]

Probability of choosing a black sock = 4/12

Without replacement, Probability of choosing a white sock = 6/11

Probability of choosing black sock and white sock = [tex]\frac{4}{12}[/tex] × [tex]\frac{6}{11}[/tex]

= [tex]\frac{1}{33}[/tex].

Hence, the probability of choosing a black sock and then a white sock is 2/11.

Learn more about Probability here

https://brainly.com/question/16881470

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