17) The following question involves a standard deck of 52 playing cards. In such a deck of cards there are four
suits of 13 cards each. The four suits are: hearts, diamonds, clubs, and spades. The 26 cards included in hearts and diamonds are red. The 26 cards included in clubs and spades are black. The 13 cards in each suit are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This means there are four Aces, four Kings, four Queens, four 10s, etc., down to four 2s in each deck.
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?
Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card.
No. The probability of drawing a specific second card depends on the identity of the first card.
Yes. The events can occur together.
No. The events cannot occur together.
(b) Find P(ace on 1st card and nine on 2nd). (Enter your answer as a fraction.)
(c) Find P(nine on 1st card and ace on 2nd). (Enter your answer as a fraction.)
(d) Find the probability of drawing an ace and a nine in either order. (Enter your answer as a fraction.)
18)Compute P9,4. Ans __________
19)Compute C10,5.Ans __________
20)There are seven wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint: There are seven choices for the first wire, six for the second wire, five for the third wire, etc.)