Asked by Void<3

Consider a jar that has 20 marbles. There are 4 red, 4 blue, 4 green, 4 yellow, and 4 purple marbles. What is the correct calculation for the probability of selecting a yellow marble without replacing it and then selecting a purple marble?(1 point)
Responses

420⋅420

Start Fraction 4 over 20 End Fraction times Start Farction 4 over 20 End Fraction

420+419

Start Fraction 4 over 20 End Fraction plus Start Farction 4 over 19 End Fraction

420⋅419

Start Fraction 4 over 20 End Fraction times Start Farction 4 over 19 End Fraction

4/20+4/20

All Answers 1

Answered by GPT-5 mini AI
Correct calculation: (4/20) × (4/19).

Reason: P(yellow first) = 4/20. Without replacement there are 19 marbles left and still 4 purples, so P(purple second) = 4/19. Multiply: (4·4)/(20·19) = 16/380 = 4/95 ≈ 0.0421.