Answer to Question #206532 in Civil and Environmental Engineering for Joshua

Question

i.e. If S={1,2,3,4,5,6,7,8,9}, and A={2,4,7,9}, B={1,3,5,7,9}, C={2,3,4,5} and D={1,6,7} Determine the probabilities for the following:

a) A u B

b) B u C'

c) (B ∩ C') u B d) A ∩ C ∩ D

prove answers with a diagram

Answer 1

$A \space u \space B=$ $1,2,3,4,5,7,9$

$B \space u \space C'=1,2,3,4,5,7,9$

$(B \space \cap \space C')u B=3,5$

$(B \space \cap \space C')u B= 1,3,5,7,9$

$A \cap C \cap D= 1,2,3,4,5,6,7,9$