Answer:
1/30 chance of picking two girls
Step-by-step explanation:
Only 5 of the 25 members are girls and assuming you dont pick the first girl and put her name back in the hat. Then you would have a 1 in 30 chance of getting two girls for president and vice president.
The probability that both selection will be a girl is ¹/₂₅
The given parameters;
total number of members in the club, = 25 members
number of boys in the club, = 20
number of girls in the club, = 15
To find:
The first pick will be a girl [tex]= \frac{5}{25} = \frac{1}{5}[/tex]
The second pick will also be a girl = [tex]= \frac{5}{25} = \frac{1}{5}[/tex]
The first pick will be a girl and the second pick will also be a girl;
The combined probability [tex]= \frac{1}{5} \times \frac{1}{5} = \frac{1}{25}[/tex]
Thus, the probability that both selection will be a girl is ¹/₂₅
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