11. In a survey of 100 students, the numbers studying various languages were found
to be: Spanish 28, German 30, French 42, Spanish and French 10, Spanish and
German 8. German and French 5, all the three languages 3.
(1) How many students did not study any language?
How many students had French as their only language?
(iii) How many students studied German if and only if they studied French?

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

8

step-by-step explanation:

answer: the answer is b. i think hope i got it correct

step-by-step explanation: