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Problem 24

Two dice are rolled. Find the following probabilities. \(P(\) the sum is more than 10\()\)

Problem 25

A jar contains four marbles numbered 1,2,3 , and 4 . If two marbles are drawn, find the following probabilities. \(P(\) the sum of the number is 5\()\)

Problem 26

A jar contains four marbles numbered 1,2,3 , and 4 . If two marbles are drawn, find the following probabilities. \(P\) (the sum of the numbers is odd)

Problem 28

A jar contains four marbles numbered 1,2,3 , and 4 . If two marbles are drawn, find the following probabilities. \(P\) (one of the numbers is 3)

Problem 29

Determine whether the following pair of events are mutually exclusive. \(A=\\{\) A person earns more than \(\$ 25,000\\}\) \(B=\\{\) A person earns less than \(\$ 20,000\\}\)

Problem 30

Determine whether the following pair of events are mutually exclusive. A card is drawn from a deck. $$ C=\\{\text { It is a } \operatorname{King}\\} D=\\{\text { It is a heart }\\} $$

Problem 31

Determine whether the following pair of events are mutually exclusive. A die is rolled. $$ \begin{array}{c} E=\\{\text { An even number shows }\\} \\ F=\\{\text { A number greater than } 3 \text { shows }\\} \end{array} $$

Problem 32

Determine whether the following pair of events are mutually exclusive. Two dice are rolled. $$ \begin{array}{l} G=\\{\text { The sum of dice is } 8\\} \\ H=\\{\text { One die shows a } 6\\} \end{array} $$

Problem 33

Determine whether the following pair of events are mutually exclusive. Three coins are tossed. $$ \begin{array}{c} I=\\{\text { Two heads come up }\\} \\ J=\\{\text { At least one tail comes up }\\} \end{array} $$

Problem 34

Determine whether the following pair of events are mutually exclusive. A family has three children. \(K=\\{\) First born is a boy \(\\}\) \(L=\\{\) The family has children of both sexes \(\\}\)

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