Mathematics

Question

Hillary rolls 2 number cubes numbered 1 through 6 while playing her favorite board game. She will get a secound turn if she rolls a sum that is an odd number greater then 10. What are hillarys chances of getting a secound turn when she rolls the number cubes?

1/36
1/18
1/12
1/6

2 Answer

  • The only odd number greater than 10 that can be shown on two dice is 11. This can be made from 5 and 6, or 6 and 5. There are 36 total combinations that two dice can make. 2/36 is the same as 1/18.
    ANS. 1/18
  • The chances of Hillary of getting a second turn when she rolls the number cubes will be [tex]\frac{1}{18}[/tex].

    Given,

    Hillary rolls 2 Dice cubes at the same time.

    So, the total of 36 below outcomes possible.

    (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) (6,2) (6,3) (6,4) (6,5) (6,6)

    As said in question, Hillary will get a second turn if she rolls a sum that is an odd number greater then 10.

    Since the number of possible outcomes which is odd and greater than 10 will be (5,6), (6,5).

    The total number of favourable outcomes is 2.

    We know that, probability of an event E will be,

    [tex]P(E)=\dfrac{\: No.\ favourable \ outcomes}{Total \ outcomes}[/tex]

    So, the probability that Hillary getting a second chance will be,

    [tex]P(E)=\dfrac{2}{36}\\[/tex]

    [tex]P(E)=\dfrac{1}{18}[/tex].

    Hence the correct option is B [tex]\frac{1}{18}[/tex].

    For more details on probability follow the link:

    https://brainly.com/question/795909

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