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Conditional probability using two-way tables

Researchers surveyed 100 students on which superpower they would most like to have. This two-way table displays data for the sample of students who responded to the survey:
SuperpowerMaleFemaleTOTAL
Fly261238
Invisibility123244
Other10818
TOTAL4852100
A student will be chosen at random.
problem 1
Find the probability that the student chose to fly as their superpower.
P(fly)=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

problem 2
Find the probability that the student was male.
P(male)=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

problem 3
Find the probability that the student was male, given the student chose to fly as their superpower.
P(male | fly)=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

problem 4
Find the probability that the student chose to fly, given the student was male.
P(fly | male)=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi

problem 5
Is this statement about conditional probability true or false?
"In general, P(| B)=P(| A). You can reverse the order and the probability is the same either way."
Choose 1 answer:

problem 6
Let I represent the event where the student chose invisibility as their superpower, and F represent the event where the student was female.
Interpret the meaning of P(| F)0.62.
Choose 1 answer:

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