Ask Question
13 July, 09:56

An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up.

(a) list the elements corresponding to the event A that the sum is greater than 7;

(b) list the elements corresponding to the event B that a number greater than 5 comes up on the green die;

(c) list the elements corresponding to the event A ∩ B

+2
Answers (1)
  1. 13 July, 12:15
    0
    A ≡ { (2, 6), (3, 5), (3, 6), (4, 4), (4, 5), (4, 6), (5, 3), (5, 4), (5, 5), (5, 6), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }

    B ≡ { (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }

    A ∩ B ≡ { (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }

    Step-by-step explanation:

    Tossing a pair of dice, one green and one red we will have 36 number of outcomes that is below

    Let the first outcome be of green and second outcome be of red.

    { (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) }

    Now,

    a) List the elements corresponding to the event A that the sum is greater than 7.

    A ≡ { (2, 6), (3, 5), (3, 6), (4, 4), (4, 5), (4, 6), (5, 3), (5, 4), (5, 5), (5, 6), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }

    b) List the elements corresponding to the event B that a number greater than 5 comes up on the green die.

    B ≡ { (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }

    c) List the elements corresponding to the event A ∩ B.

    A ∩ B ≡ { (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up. (a) list the elements ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers