Glencoe Math: Course 2, Volume 2
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Glencoe Math: Course 2, Volume 2 View details
7. Independent and Dependent Events
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Exercise 15 Page 780

Determine whether the described events are independent or dependent.

B

Practice makes perfect

We are given a jar that contains 6 aqua beads and 4 black beads. Now, we select two beads at random and with replacement. This means that these selections are independent events and the probability that the two beads selected will be aqua is the product of the probabilities of selecting an aqua bead. P(two aqua)=P(aqua)* P(aqua)Because 6 out of 10 beads are aqua, the probability of selecting an aqua bead is 6 10. P(two aqua)=6/10* 6/10 Let's simplify the product.

P(two aqua)=6/10* 6/10
P(two aqua)=3/5* 3/5
P(two aqua)=9/25

The probability that both beads will be aqua equals 925. This corresponds with answer B.