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galben [10]
3 years ago
8

a sock drawer has 6 white socks, 6 brown socks, and 4 black socks. you randomly pick 2 socks and get a matching pair of black so

cks. what is the probability of this occurring
Mathematics
1 answer:
klasskru [66]3 years ago
5 0

Answer:

1/20

Step-by-step explanation:

Remark: Not huge

Total number of Socks: 6 + 6 + 4 = 16

P(First Black Sock):  4/16 = 1/4

The second Sock needs to be discussed a bit. The number of black  socks has gone down to 1 and the total will always go down by 1.

Second Sock: 3 Black / 15 Total = 3/15 = 1/5

Combined Probability: 1/4 * 1/5 = 1/20

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Answer:

0.11069

Step-by-step explanation:

We will assume that the trains pass by his house following a uniform distribution with values between 0 and 24. The probability of a train passing on a 9-hour time period is 9/24 = 3/8 = 0.375. Lets call Y the amount of trains passing by his house during that 9-hour period. Y follows a Binomail distribution with parameters 22 and 0.375.

P(Y ≤ 5) = P(Y = 0) + P(Y=1) + P(Y=2) + P(Y=3) + P(Y=4) + P(Y=5) =

{22 \choose 0} * 0.375^0*(1-0.375)^{22} + {22 \choose 1}*0.375^1*(1-0.375)^{21} +\\\\{22 \choose 2} * 0.375^2*(1-0.375)^{20} + {22 \choose 3}*0.375^3*(1-0.375)^{19}  + \\{22 \choose 4} * 0.375^4*(1-0.375)^{18} + {22 \choose 5}*0.375^5*(1-0.375)^{17} = 0.11069

I hope that works for you!

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Y=4x^3+3x^2-2x+9.<br>=&gt; y'=?​
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