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10 August, 15:46

A collection of items are used for the wrap up party of Captain America.

* A spinner with eight equally divided spaces numbered from one to eight.

* Two fair six-sided dice.

* Two fair coins.

* A bag that contains four blue marbles, four red marbles, and eight yellow marbles.

* A standard deck of 52 cards.

Captain America decides to roll both fair sided dice. What is the probability he rolls an even number on one die and the number 1 on the second die? Write your answer as a fraction. Use the / (forward slash) ex. 3/5 * *make sure your fraction is in simplified form

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  1. 10 August, 18:55
    0
    1/12

    Step-by-step explanation:

    Let the sample space be S.

    Let the event of obtaining an even number on one dice and 1 on the other dice be E.

    The sample space (S) of rolling a two fair six-sided dice is shown below:

    1,1 1,2 1,3 1,4 1,5 1,6

    2,1 2,2 2,3 2,4 2,5 2,6

    3,1 3,2 3,3 3,4 3,5 3,6

    4,1 4,2 4,3 4,4 4,5 4,6

    5,1 5,2 5,3 5,4 5,5 5,6

    6,1 6,1 6,3 6,4 6,5 6,6

    n (S) = 36

    The event (E) of obtaining an even number on one dice and 1 on the other dice is given below:

    2,1 4,1 6,1

    Therefore, n (E) = 3

    The probability of obtaining an even number on one dice and 1 on the other dice is given below:

    P (E) = n (E) / n (S)

    P (E) = 3/36

    P (E) = 1/12

    Therefore, the probability of obtaining an even number on one dice and 1 on the other dice is 1/12
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