Luka has a bag containing 5 socks: 3 red, 1 white, and 1 black. he draws 1 sock out of the bag, replaces it, and then draws another sock. what is the probability that he will draw a black sock and then a red sock, p(black, then red)?

Step-by-step explanation:

Given : Luka has a bag containing 5 socks: 3 red, 1 white, and 1 black.

Then, probability that he first draw a black sock : P(black)

Since we replaced first sock , then the total number of socks in bag remains the same i.e. 5.

Probability that he draw a red sock : P(red)

Since both the events are independent , thus

P(black then red)=P(Black) P(red)

Hence, the probability that he will draw a black sock and then a red sock=

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step-by-step explanation: