for a certain class, the following data table compares how many students have a brother or a sister. what is…

for a certain class, the following data table compares how many students have a brother or a sister. what is the probability that a randomly chosen student from the class is an only child?\n| |has a brother|does not have a brother|\n|--|--|--|\n|has a sister|6|7|\n|does not have a sister|3|10|

for a certain class, the following data table compares how many students have a brother or a sister. what is the probability that a randomly chosen student from the class is an only child?\n| |has a brother|does not have a brother|\n|--|--|--|\n|has a sister|6|7|\n|does not have a sister|3|10|

Answer

Explanation:

Step 1: Calculate total number of students

Sum all values in the table: (6 + 7 + 3 + 10)

Step 2: Identify number of only children

Only children have neither brother nor sister: (10)

Step 3: Compute probability

Probability = (\frac{\text{Only children}}{\text{Total students}} = \frac{10}{6 + 7 + 3 + 10})

Answer:

(\frac{10}{26} = \frac{5}{13})