Question

(Q11) A die is rolled 150 times and its outcomes are recorded as below.
Outcomes = 1,2,3,4,5,6
Frequency= 25,30,15,25,32,20
Find the probability of getting
(1 )An odd number
(2)A multiple of 4

Answer 1

(1) 72/6=12
(2) multiple of 4 are :32,20
answer is :52/6=8.5

Answer 2

Answer:

1) $\text{Probability}=\frac{12}{25}$

2) $\text{Probability}=\frac{14}{75}$

Step-by-step explanation:

Given : A die is rolled 150 times and its outcomes are recorded as below.

Outcomes = 1,2,3,4,5,6

Frequency= 25,30,15,25,32,20

To find : The probability of getting  

(1 )An odd number

(2)A multiple of 4

Solution :

(1) An odd number

Total number of outcome = 150

$\text{Probability}=\frac{\sum \text{frequency of favorable outcome}}{\text{Total number of outcome}}$

Favorable outcome (odd number) = 1,3,5

$\text{Probability}=\frac{25 +15+32}{150}$

$\text{Probability}=\frac{72}{150}$

$\text{Probability}=\frac{12}{25}$

(2) A multiple of 4

Total number of outcome = 150

$\text{Probability}=\frac{\sum \text{frequency of favorable outcome}}{\text{Total number of outcome}}$

Favorable outcome (multiple of 4) =4

$\text{Probability}=\frac{28}{150}$

$\text{Probability}=\frac{14}{75}$