Compute Probabilities Using the General Multiplication Rule
-There Are 36 $\frac { 13 } { 105 }$

question 138

Multiple Choice

Compute Probabilities Using the General Multiplication Rule
-There are 36 chocolates in a box, all identically shaped. There 13 are filled with nuts, 9 with caramel, and 14 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting 2 nut candies.

• A) \(\frac { 13 } { 105 }\)
• B) \(\frac { 169 } { 1296 }\)
• C) \(\frac { 1 } { 90 }\)
• D) \(\frac { 13 } { 108 }\)

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Definitions:

Observational Studies

Research methods where subjects are observed in their natural environment without any manipulation by the researcher, used to collect data on behaviors, outcomes, or phenomena.

Laboratory Experiments

Controlled tests conducted in a structured and isolated environment to investigate hypotheses by manipulating variables.

External Variables

Factors outside the individual that can influence their behavior or the outcome of a situation, including environmental, social, or economic conditions.

Independent Variables

Factors in an experiment that are deliberately changed or manipulated to investigate their effects on dependent variables.