MAT 152 Randomness, Probability and Probability Models

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A jar contains one penny, one nickel, one dime and one quarter. Two coins are selected one after the other with replacement. Draw a tree diagram and list the sample space.

Tree has 16 end branches. S: {PP, PN, PD, PQ, NP, NN, ND, NQ, DP, DN, DD, DQ, QP, QN, QD, QQ}

A jar contains one penny, one nickel, one dime and one quarter. Two coins are selected one after the other without replacement. Draw a tree diagram and list the sample space.

Tree has 12 end branches. S: {PN, PD, PQ, NP, ND, NQ, DP, DN, DQ, QP, QN, QD}

A standard six-sided die is rolled once. What is the probability of obtaining a number less than three? Express your answer as a fraction in lowest terms.

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