Question

A survey of 500 seniors citizens was conducted and it was found that 175 liked
while 325 disliked watching movies. Find the probablity that a senior citizen chosen
at random.
(i) Like wathcing movies
(ii) Does not like watching movies.​

Answer 1

Answer:

(i)=7/20

(ii)=13/20

Step-by-step explanation:

(i)-we know that 175/500 like watching movies, because it is given, however 175/500 can be simplified, as both 175 and 500 are divisible by 25, so 175/500 can be simplified down to 7/20.

(ii)-it states that 325/500 dislike watching movies, and both 325 and 500 are divisible by 25, so it simplifies down into 13/20.

Answer 2

Given,

• Total number of senior citizens = 500
• Number of citizens who like watching movies = 175
• Number of citizens who dislike watching movies = 325

To find,

We have to find the probability that a senior citizen chosen at random

• Like watching movies
• Does not like watching movies.​

Solution,

We can simply find the required probability by using the following formula:

Probability = Favorable outcomes / Total number of outcomes

(1) Number of cases in which citizens like watching movies = 175

P( citizens like watching movies) = 175/500

P( citizens like watching movies) = 7/20

(2) Number of cases in which citizens do not like watching movies = 325

P( citizens do not like watching movies ) = 325/500

P( citizens do not like watching movies ) = 13/20

Hence, a survey of 500 seniors citizens was conducted and it was found that 175 liked while 325 disliked watching movies then the probability that a senior citizen has chosen at random like watching movies is 7/20 and does not like watching movies is 13/20.​