a. Two dice are thrown simultaneously. What is the probability of getting two nu

ID: 3301171 • Letter: A

Question

a. Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

b. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is?

c.In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

d. From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

e. Two dice are tossed. The probability that the total score is a prime number is?

f. A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is?

Please explain.

Here, two dice are thrown simultaneously .

Possible outcomes of this experiment is ,

S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),

(6,1),(6,2),(6,3),(6,4),(6,5),(6,6) }

Here, event A is defined as getting two numbers whose product is even. Elements corresponding to event A are ,

A={(1,2),(1,4),(1,6),

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),

(3,2),(3,4),(3,6),

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),

(5,2),(5,4),(5,6),

(6,1),(6,2),(6,3),(6,4),(6,5),(6,6) }

Now, the probability of getting two numbers whose product is even =Number of elements in A / Number of elements in S

=27/36

=3/4=0.75

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