Question

a bag contains the following fourteen marbles:

• purple, green, red, green, blue, purple, blue, green, purple, green, red, green, blue, purple

deepak randomly chooses two marbles from the bag, one at a time, and replaces the marble after each choice. what is the probability he will choose one green marble and then one red marble? express the probabilities in fraction form.

\\(p(\text{green}) = \\)
\\(p(\text{red}) = \\)
\\(p(\text{green and red}) = \\)

Explanation:

Count the total and favorable outcomes

Using the Theoretical Probability and Favorable Outcomes knowledge points

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Calculate individual probabilities

Using the Theoretical Probability knowledge point

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Calculate the joint probability of independent events

Using the Independent Events knowledge point

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Answer:

A bag contains the following fourteen marbles. Deepak randomly chooses two marbles from the bag, one at a time, and replaces the marble after each choice. What is the probability he will choose one green marble and then one red marble? Express the probabilities in fraction form.

\(P(\text{green}) =\) <blank>\(\frac{5}{14}\)</blank>

\(P(\text{red}) =\) <blank>\(\frac{1}{7}\)</blank>

\(P(\text{green and red}) =\) <blank>\(\frac{5}{98}\)</blank>