CAT Exam Category

in a class 30% of the student offered english ,20% offered hindi and 10% offered both.if a student is select at random,What is the probablity that he has offered english or hindi?

Read Solution (Total 2)

Let p(A) = 30% = 0.3
P(B) = 20% = 0.2
Both, p(AnB) = 10% = 0.1

So, p(AuB) = p(A)+p(B)-p(AnB)
P(AuB) = 0.3+0.2-0.1 = 0.4 = 4/10 = 2/5
8 years agoHelpfull: Yes(5) No(0)

2/5

% offered only english=30-10=20, only hindi=20-10=10 and both english & hind=10
Here total 20+10+10=40% students has offered either english or hindi
so same will be probaility of a student, who has offered english or hindi if selected at random,
Hence probability =40/100=2/5
9 years agoHelpfull: Yes(2) No(0)

CAT Other Question

the probablity that a student passes a physics test is 2/3 and the probabality that he passes both physics and english test is 14/35.the probablity that he passes atleast one test is 4/5.what is the probablity that the student passes the english test? You own a garment shop. You introduced a winter collection - line of jackets. You purchased 500 jackets from the wholesaler at Rs. 400 each. Your mark- up% is 15% and you were able to sell 60% of the jackets. But after the season ended, the sale of jackets stopped. In order to clear the stock, you decided to sell them at a discounted rate (on marked-up price) such that there is no overall loss to you with your winter collection. What is the maximum discount you can give?
a. 13.04%
b. 22.50%
c. 32.61%
d. 39.13%