Multiple choice

A bag contains 4 white and 6 black balls.Two balls are drawn one by one WITHreplacement. What is the probability that thefirst is white and the second is black?

  1. A.6/25

  2. B.24/100

  3. C.4/15

  4. D.5/12

  5. E.24/52

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A Correct answer
AI explanation

Using the multiplication rule for independent events, the probability equals the chance of drawing white first times the chance of drawing black second. Since the draws are with replacement, the probability of drawing a white ball is 4/10 and the probability of drawing a black ball remains 6/10. Multiplying these probabilities gives 24/100, which simplifies to 6/25.