Find the Requested Probability $\frac { 1 } { 72 }$

question 16

Multiple Choice

Find the requested probability.
-A box contains the following mixture of colored marbles: 2 black, 1 red, 4 yellow, and 2 green. If two marbles are drawn, the second being drawn after the first is replaced, then what is the Probability that both are yellow?

• A) \(\frac { 1 } { 72 }\)
• B) \(\frac { 1 } { 6 }\)
• C) \(\frac { 16 } { 81 }\)
• D) \(\frac { 4 } { 27 }\)

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Definitions:

Two-tailed

A test in statistics where the critical area of a distribution is two-sided and tests whether a sample is greater than or less than a certain range of values.

Zero-tailed

Refers to a type of hypothesis test in statistics where the area of interest is on one extreme end of the distribution curve, indicating whether a sample mean is either significantly higher or lower than the population mean.

Random Assignment

The use of random selection to assign research participants to experimental groups.

Control Group

In experimental research, a group that does not receive the experimental treatment and is used as a benchmark to measure the effects of the treatment.