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Probability: Venn Diagrams and Two-Way Tables - Variation Theory - Free Printable

Probability: Venn Diagrams and Two-Way Tables - Variation Theory

Educational worksheet: Probability: Venn Diagrams and Two-Way Tables - Variation Theory. Download and print for classroom or home learning activities.

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1) The probability of a student taking French is the number of students taking French divided by the total number of students. From the table, 44 students take French out of 80 students. So, the probability is 44/80 = 11/20.

2) The probability of a student taking French or Spanish is the number of students taking French or Spanish divided by the total number of students. From the table, 44 students take French and 36 take Spanish, but 9 students take both French and Spanish. So, the number of students taking French or Spanish is 44 + 36 - 9 = 71. The probability is 71/80.

3) Given that a student is right handed, the probability they take French is the number of right-handed students taking French divided by the total number of right-handed students. From the table, 26 right-handed students take French out of 53 right-handed students. So, the probability is 26/53.

4) Given that a student takes Spanish, the probability they take Latin is the number of students taking both Spanish and Latin divided by the total number of students taking Spanish. From the table, 3 students take both Spanish and Latin out of 36 students taking Spanish. So, the probability is 3/36 = 1/12.

5) Given that a student is left handed, the probability they take Spanish is the number of left-handed students taking Spanish divided by the total number of left-handed students. From the table, 9 left-handed students take Spanish out of 27 left-handed students. So, the probability is 9/27 = 1/3.

6) Given that a student is left handed, the probability they are right handed is 0, because a student cannot be both left handed and right handed. So, the probability is 0.
Parent Tip: Review the logic above to help your child master the concept of probability two way tables worksheet.
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