MATH SOLVE

3 months ago

Q:
# Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 6 18 3 27 Female 13 20 12 45 Total 19 38 15 72 If one student is chosen at random, If one student is chosen at random,Find the probability that the student got a B: Find the probability that the student was female AND got a "C": Find the probability that the student was female OR got an "B": If one student is chosen at random, find the probability that the student got a 'B' GIVEN they are male:

Accepted Solution

A:

Answer:P(Got a B) = [tex]\frac{19}{36}[/tex]P(Female AND got a C) = [tex]\frac{1}{6}[/tex]P(Female or Got an B = [tex]\frac{7}{8}[/tex]P(got a 'B' GIVEN they are male) = [tex]\frac{9}{19}[/tex]Step-by-step explanation:Given: A B C Total
Male 6 18 3 27Female 13 20 12 45
Total 19 38 15 72We know that the probability = The number of favorable outcomes ÷ The total number of possible outcomes.Total number = 721) If one student is chosen at random,
Find the probability that the student got a B:Got B = 38P(Got a B) = [tex]\frac{38}{72}[/tex]Simplifying the above probability, we getP(Got a B) = [tex]\frac{19}{36}[/tex]2) Find the probability that the student was female AND got a "C":Female AND got a C = 12P(Female AND got a C ) = [tex]\frac{12}{72}[/tex]Simplifying the above probability, we getP(Female AND got a C) = [tex]\frac{1}{6}[/tex]3) Find the probability that the student was female OR got an "B":Female OR got an B = Total number of female + students got B - Female got 20= 45 + 38 - 20= 73 - 20= 63P(Female OR got an B ) = [tex]\frac{63}{72}[/tex]P(Female or Got an B = [tex]\frac{7}{8}[/tex]4) If one student is chosen at random, find the probability that the student got a 'B' GIVEN they are male:Total number of students who got B = 38Student got a B given they are male = 18P(got a 'B' GIVEN they are male) = [tex]\frac{18}{38}[/tex]P(got a 'B' GIVEN they are male) = [tex]\frac{9}{19}[/tex]