A person is chosen at random from a room that contains 24 men and 26 women. What is the probability that a woman is chosen?

A.) 12/13

B.) 12/25

C.) 13/25

D.) 13/50

Respuesta :

probability = (number of relevant possibilities)/(total number of possible outcomes)

p(woman chosen) = 26 / (24+26) = 13/25

Correct answer is (C)

Answer: C. [tex]\dfrac{13}{25}[/tex]

Step-by-step explanation:

Given : The number of men = 24

The number of women = 26

The total number of people in the room =[tex]24+26=50[/tex]

Now, the probability that a woman is chosen is given by :-

[tex]\text{P(women)}=\dfrac{\text{Number of women}}{\text{Total people}}\\\\\Rightarrow\ \text{P(women)}=\dfrac{26}{50}=\dfrac{13}{25}[/tex]

Hence, the probability that a woman is chosen is [tex]\dfrac{13}{25}[/tex]