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Problem 35

Use the addition rule to find the following probabilities. A card is drawn from a deck, and the events \(C\) and \(D\) are as follows: $$ \begin{array}{l} C=\\{\text { It is a king }\\} \\ D=\\{\text { It is a heart }\\} \end{array} $$ Find \(P(C\) or \(D)\).

Problem 36

Use the addition rule to find the following probabilities. A die is rolled, and the events \(E\) and \(F\) are as follows: \(E=\\{\) An even number shows \(\\}\) \(F=\\{\) A number greater than 3 shows \(\\}\) Find \(P(E\) or \(F)\).

Problem 37

Use the addition rule to find the following probabilities. Two dice are rolled, and the events \(G\) and \(H\) are as follows: $$ \begin{array}{c} G=\\{\text { The sum of dice is } 8\\} \\ H=\\{\text { Exactly one die shows a } 6\\} \end{array} $$ Find \(P(G\) or \(H)\).

Problem 38

Use the addition rule to find the following probabilities. Three coins are tossed, and the events \(I\) and \(J\) are as follows: $$ \begin{array}{c} I=\\{\text { Two heads come up }\\} \\ J=\\{\text { At least one tail comes up }\\} \end{array} $$ Find \(P(I\) or \(J)\).

Problem 39

At De Anza college, \(20 \%\) of the students take Finite Mathematics, \(30 \%\) take Statistics and \(10 \%\) take both. What percentage of the students take Finite Mathematics or Statistics?

Problem 47

Again, use the addition rule to determine the following probabilities. If \(P(E)=.5\) and \(P(F)=.4\) and \(E\) and \(F\) are mutually exclusive, find \(P(E\) and \(F)\).

Problem 48

Again, use the addition rule to determine the following probabilities. If \(P(E)=.4\) and \(P(F)=.2\) and \(E\) and \(F\) are mutually exclusive, find \(P(E\) or \(F)\).

Problem 49

Again, use the addition rule to determine the following probabilities. If \(P(E)=.3\) and \(P(E\) or \(F)=.6\) and \(P(E\) and \(F)=.2,\) find \(P(F)\)

Problem 50

Again, use the addition rule to determine the following probabilities. If \(P(E)=.4, P(F)=.5\) and \(P(E\) or \(F)=.7,\) find \(P(E\) and \(F)\)

Problem 51

Two apples are chosen from a basket containing five red and three yellow apples. Draw a tree diagram below, and find the following probabilities. \(P\) (both red)

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