You have a bag with 12 jelly beans in it 4 red 2 black 5 yellow and 1 pink what is the probability of not picking a black one

Question

You have a bag with 12 jelly beans in it 4 red 2 black 5 yellow and 1 pink what is the probability of not picking a black one

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Khải Quang 5 years 2021-08-18T17:48:39+00:00 2 Answers 31 views 0

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    0
    2021-08-18T17:49:55+00:00

    Answer:

    \boxed {\boxed {\sf \frac{5}{6} \ or \ 0.833}}

    Step-by-step explanation:

    Probability can be found by dividing the favorable outcomes by the total outcomes.

    P=\frac{favorable \ outcomes}{total \ outcomes}

    In this problem, a favorable outcome is not picking a black jelly bean. The total outcomes is the total number of jelly beans.

    P( \ not \ black \ jelly \ bean)=\frac{not \ black \ jelly \ beans}{all \ jelly \ beans}

    • There are 10 jelly beans that are not black (4 red+5 yellow + 1 pink =10)
    • There are 12 total jelly beans (4 red+ 2 black+ 5 yellow + 1 pink= 12)

    P( not \ black \ jelly \ bean )=\frac{10}{12}

    This fraction can be reduced. Both the numerator and denominator can be divided by 2.

    P(not \ black \ jelly \ bean)=\frac{10/2}{12/2}

    P(not \ black \ jelly \ bean)=\frac{5}{6}

    Probabilty can also be written as a decimal.

    P(not \ black \ jelly \ bean)=0.833

    The probabilty of not picking a black jelly bean is 5/6 or 0.833

    0
    2021-08-18T17:50:27+00:00

    10:12. or 83.3%. so you have a 10 in 12 chance to not get a black one.

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