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In a year cohort the probability that a randomly chosen student is studying French
In a year cohort the probability that a
randomly chosen student is studying French is 0.84, the probability that a randomly chosen student is studying German is 0.65, and 8% of the cohort study neither French nor German. Find the probability that a randomly chosen student is studying both French and German.
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To get the distance DC we proceed as follows:
AB-CD
=11-3
=8
BC=15
hence using Pythagorean theorem
c²=a²+b²
c=DC
a=BC
b=8
thus
c²=15²+8²
c²=225+64
c²=289
thus
c=√289
c=17 units
B. 17 units