Question

In a survey of 200 ladies , it was found that 82 like coffee while 118 dislike it.From these ladies , one is chosen at random.The probability that the chosen lady dislikes coffee is _____ .

• A. $\frac{59}{100}$
• B. $\frac{41}{100}$
• C. $\frac{100}{59}$
• D. $\frac{100}{41}$

Answer 1

Answer: (A)

$\frac{59}{100}$

Probability of an event $P\left(E\right)=\frac{No.ofFavourableOutcomes}{TotalNo.ofOutcomes}$

Here,

Favourable Outcomes $=$ Lady who dislikes Coffee

Number of Favourable Outcomes $=$ Number of Ladies who dislike Coffee $=118$

Total Number of Outcomes $=200$ $=$ Total Number of Ladies in Survey

$\Rightarrow P\left(E\right)=\frac{118}{200}=\frac{59}{100}$