U Links 1 MATH205 - Chapter 3 and 4 Test 1 MATH205 - Section 4.3 Homework W ONLINE-GE 2022 01/31 C1-MTH205 You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of 6? (Enter your answer as a fraction.) (b) What is the probability of getting a sum of 10? (Enter your answer as a fraction.) (c) What is the probability of getting a sum of 6 or 10? (Enter your answer as a fraction.) Are these outcomes mutually exclusive? Yes No 17. [-/2.65 Points] DETAILS BBUNDERSTAT12 4.2.021.MI. MY NOTES ASK YOUR 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 ar 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? No. The events cannot occur together. Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card. Yes. The events can occur together. No. The probability of drawing a specific second card depends on the identity of the first card. (b) Find Place on ist card and ten on 2nd). (Enter your answer as a fraction.) c) Find P(ten on ist card and ace on 2nd). (Enter your answer as a fraction.) (d) Find the probability of drawing an ace and a ten in either order. (Enter your answer as a fraction.) 18. [-/2.65 Points] DETAILS BBUNDERSTAT12 4.3.014. MY NOTES ASK YOUR Compute P8,6 19. [-/2.65 Points] DETAILS BBUNDERSTAT12 4.3.018. MY NOTES ASK YOUR Compute C9,2. 20. [-/2.78 Points] DETAILS BBUNDERSTAT12 4.3.009. MY NOTES ASK YOUR There are five 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 the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint: There are five choices for the first wire, four for the second wire, three for the third wire, etc.)