Question

8.
A pair o dice is rolled and the resulting number is odd. Which of the following is
the complement of this event ?
a. A number greater than 8 is rolled b. A number less than 5 is rolled
C. An even number is rolled
d. A multiple of 5 is rolled​

Answer 1

Answer:

odd numbers = 1,3,5

two dice will give 3 x 3 = 9 combination of odd nos... but

combination of 2 same odd nos = (1,1) (3,3) (5,5)

hence 9-3 =6

prob = 6/36 = 1/6

ans 1/6

Answer 2

Answer:

The correct answer is option b). A number less than 5 is rolled.

Step-by-step explanation:

Odd numbers : 1, 3, 5, 7, ......

A - Getting an odd number on the first die.

B - Getting a multiple of 3 on the second die.

A= {1, 3, 5} and B = {3, 6}

$P(A)=\frac{3}{6}=\frac{1}{2}$

$P(B)=\frac{2}{6}=\frac{1}{3}$

Required probability $= P(A \cap B)$

$= P(A) P(B)$

$=\frac{1}{2} *\frac{1}{3}$

$=\frac{1}{6}$

Therefore, A and B are independent events.

option b). A number less than 5 is rolled.