Ask Question
7 September, 20:52

You draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second.

(a) Are the outcomes on the two cards Independent? Why?

(b) Find P (3 on 1st card and 10 on 2nd). (Enter your answer as a fraction.)

(c) Find P (10 on 1st card and 3 on 2nd). (Enter your answer as a fraction.)

(d) Find the probability of drawing a 10 and a 3 in either order. (Enter your answer as a fraction.)

+2
Answers (1)
  1. 7 September, 20:59
    0
    a) The outcome of the two cards are independent because the occurrence of one does not affect the occurrence of the other.

    b) in a 52 playing cards number of 3 is 4. [n (3) = 4], number of 10 is 4 [n (10) = 4]

    P (3) * p (10) = 4/52 * 4/52 = 1/13*1/13 = 1/169

    c) n (10) = 4 n (3) = 4

    P (10) * P (3) = 4/52 * 4/52 = 1/13 * 1/13 = 1/169

    d) probability of drawing a 10 and a 3 in either order.

    P (10) * P (3) + p (3) * p (10)

    1/13 * 1/13 + 1/13 * 1/13

    1/169 + 1/169

    =2/169
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “You draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second. (a) Are the outcomes on the ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers