Question

In a survey of 200 ladies it was found that 142 like coffee while 58 dislike it find the probability that lady chosen at random number one like coffee number to dislike coffee

Answer 1

Given:

In a survey of 200 ladies, it was found that 142 like coffee while 58 dislike it

To find:

Find the probability that lady has chosen at random number one like the coffee number to dislike coffee

Solution:

Number of ladies = 200

Number of ladies who like coffee = 142

Number of ladies who dislike coffee = 58

Consider E₁ as the event that the selected ladies like coffee

Thus we have P (E₁) = number of ladies who like coffee/ number of trials

Upon substituting the values

P (E₁) = 142/ 200

⇒ P (E₁) = 0.71

Consider E₁ as the event that the selected ladies dislike coffee

Thus we have P (E₂) = number of ladies who dislike coffee/ number of trials

Upon substituting the values P (E₂) = 58/ 200

⇒ P (E₂) = 0.29

Number of ladies liking coffee = 0.71

Number of ladies dis-liking coffee = 0.29