Find the probability of randomly selecting a blue, then a red marble from a bag of 5 red, 8 green, and 3 blue marbles when (a) you replace the first marble before drawing the second, and (b) you do not replace the first marble. Then, compare the probabilities. Round all answers to four decimal places, if necessary. a. The probability of selecting a blue, then a red marble when you replace the first marble before drawing the second is about . b. The probability of selecting a blue, then a red marble when you do not replace the first marble is . You are about times more likely to pick a blue, then a red when you do not replace the first marble.

Respuesta :

Answer:

Below.

Step-by-step explanation:

Total marbles = 16

(a)  Replacing the first marble:

Probability = 5/16 * 3/16

= 15/256

Not replacing the first marble:

Probability = 5/16 * 3/15

= 5/16 * 1/5

= 5/80

= 1/16.

Comparing the 2 values:

Probability of   Not replacement /  Replacement = 1/16 / 15/256

= 256 / 15* 16

= 16/15

Thus you are 16/15 = 1.0667 times more likely to pick a blue then a red when you do not replace the first marble.

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