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lakkis [162]
3 years ago
5

A box contains 6 black socks and 4 red socks. What is the probability of picking two black socks from the bag without replacemen

t? What is the answer in simplest form?
Mathematics
1 answer:
bazaltina [42]3 years ago
5 0

Answer:

9/25

Step-by-step explanation:

Our box contains 10 socks. (6, which are black and 4 which are red)

Probability of picking 1 black sock will be 6/10

Number of ways it can occur / Total number of outcomes.

In this question we pick two socks, one black firstly and another black, in the second turn. When we say AND, it means intersection

P (B₁ ∩ B₂) = 6/10 . 6/10

When the events are independent, the probability of the intersection will be the product of the probabilities,

P (B₁ ∩ B₂) = 36/100 = 9/25

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Also, π-A=2nπ+π/2-3A, 2A=2nπ-π/2, A=nπ-π/4.

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cos3A=cos(2A+A)=cos(2A)cosA-sin(2A)sinA.

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