Adresser contains 4 pairs of socks, with 1 each in the colors red, black, blue, and grey. it also contains 3 skirts, with 1 each in the colors black, navy, and khaki. what is the probability that 1 pair of red socks and 1 black skirt are chosen at random?

Hence the probability that 1 pair of red socks and 1 black skirt are chosen at random is .

Step-by-step explanation:

Let A denotes the event that 1 pair of red socks are chosen.

Let B denote the event that a 1 black skirt is chosen.

let P denotes the probability of an event. ( Probability of an event is defined as the ratio of Number of favourable outcomes over the total number of outcomes)

and

Hence, the probability that 1 pair of red socks and 1 black skirt are chosen at random i.e.  is given by:

(since the events are independent)

Hence,

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18