Respuesta :
Answer:
Hence the probability that 1 pair of red socks and 1 black skirt are chosen at random is [tex]\dfrac{1}{12}[/tex].
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)
[tex]P(A)=\dfrac{1}{4}[/tex] and [tex]P(B)=\dfrac{1}{3}[/tex]
Hence, the probability that 1 pair of red socks and 1 black skirt are chosen at random i.e. [tex]P(A \bigcap B)[/tex] is given by:
[tex]P(A \bigcap B)=P(A)\times P(B)[/tex] (since the events are independent)
Hence, [tex]P(A \bigcap B)=\dfrac{1}{4}\times \dfrac{1}{3}=\dfrac{1}{12}[/tex]
