A political party has 25 female delegates at its annual convention, 15 of them come from the urban centre, and 10 come from the rural centre . If a delegate is selected at random, what is the probability that she is from the: a) rural centre. b) urban centre?

Geography

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  1. Identify the total number of female delegates and the number of delegates from each center.

    Total number of female delegates = 25
    Number of female delegates from the urban center = 15
    Number of female delegates from the rural center = 10

  2. Calculate the probability that the selected delegate is from the rural center.

    P(Rural center)=Number of delegates from rural centerTotal number of female delegatesP(\text{Rural center}) = \frac{\text{Number of delegates from rural center}}{\text{Total number of female delegates}} P(Rural center)=1025P(\text{Rural center}) = \frac{10}{25} P(Rural center)=25P(\text{Rural center}) = \frac{2}{5}

    a) The probability that she is from the rural centre is 25\boxed{\frac{2}{5}}.

  3. Calculate the probability that the selected delegate is from the urban center.

    P(Urban center)=Number of delegates from urban centerTotal number of female delegatesP(\text{Urban center}) = \frac{\text{Number of delegates from urban center}}{\text{Total number of female delegates}} P(Urban center)=1525P(\text{Urban center}) = \frac{15}{25} P(Urban center)=35P(\text{Urban center}) = \frac{3}{5}

    b) The probability that she is from the urban centre is 35\boxed{\frac{3}{5}}.

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