Question

Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

Answer 1

Answer:  3/56

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Work Shown:

A = event of picking the "2" card

P(A) = probability of event A happening

P(A) = 1/8

This is because there is one card labeled "2" out of 8 cards total

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B = event of picking a number less than 6, given event A has happened

P(B) = 3/7

There are 3 cards less than 6 (those cards are labeled 3,4, and 5) out of 8-1 = 7 cards left over. We havent put the first card back so that's why 8 drops to 7. We also don't consider the "2" card. So that's where the 3/7 comes from.

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P(A and B) = P(A)*P(B)

P(A and B) = (1/8)*(3/7)

P(A and B) = (1*3)/(8*7)

P(A and B) = 3/56