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10 October, 17:42

The probability of selecting a red ball at random from a jar that contains only red, blue

and orange balls is 1/4. The probability of selecting a blue ball at random from the same

jar 1/3. If the jar contains 10 orange balls, find the total number of balls in the jar.

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Answers (1)
  1. 10 October, 18:34
    0
    An excellent question requiring skills in fractions. In fact, fractions should be used in all probability questions whenever possible because they are exact, while decimals represent approximations.

    Given:

    P (R) = 1/4

    P (B) = 1/3

    there are only Red (R), Blue (B) and Orange (O) balls in the jar, of which 10 are orange.

    Now we know that

    P (O) = 1 - 1/4 - 1/3 = 12/12 - 3/12 - 4/12 = 5/12 ... (1)

    Let X = total number of balls, then

    X*P (O) = 10 ... (given)

    substitute (1),

    X * (5/12) = 10

    solve for X

    X = 10 * (12/5) = 24 orange balls.
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