Find the Probability

Question

A group of 50 students were asked which of three textbooks, Management (M),

Quantitative Methods (Q) or English (E) they read daily. The responds showed that 25

read M,16 read Q, 14 read E, 5 read both M and Q, 4 read both Q and E, 6 read both E

and M and 2 read all 3.

a. Represent these data on a Venn diagram

Find the probability that a student selected at random from this group reads:

b. At least 1 of the textbooks daily

c. Only 1 of the textbooks

d. Only Management textbooks.

Answer 1

50

25m

16q

14e

5 m^q

4q^e

6e^m

2m^e^m

draw 3 overlapping circles, one each for m,q, and e

inside a rectangle. P(>1)=number inside the circles divided by 50 =31/50= 62%

P(1)=P(>1)- number overlapping=42/50=84%