#12, 13 and 14 cell yuut ahiswer to part (b) and your answer to part (c) 12. Car
ID: 3071400 • Letter: #
Question
#12, 13 and 14
cell yuut ahiswer to part (b) and your answer to part (c) 12. Cards: Suppose you and a friend are playing cards and you are each dealt 4 cards You have a 10, Jack, Queen, and King in your hand. You are about to be dealt one more card. What is the probability that you are dealt an Ace given that (a) Your friend has no aces in his hand. (b) Your friend has exactly one ace in his hand. 13. Cards: Suppose you are playing Poker alone. You have four cards (39, 49,50, and 60) You are about to select one more card from the remaining deck. What is the probability that you get (a)" a flush (all cards of the same suit)? (b)" a straight (5 consecutive cards)? (c) a straight fush (5 consecutive cards of the same suit)? The Addition Rule (4.3) 14. Mutually Exclusive Events: Determine whether the events are mutually exclusive or not. (a)" Rolling a single die and getting a 6. Rolling a single die and getting a 2 (b) Randomly selecting a person with brown eyes. Randomly selecting a person with red hair (c) Randomly selecting a person with brown eyes. Randomly selecting a person with blue eyes (d)" Ordering a meal with vegetables. Ordering a vegetarian mealExplanation / Answer
12)
Remaining cards = 52-4-4 = 44
If friend has no aces , then probability of getting an ace = 4/44= 1/11
If friend has an ace in his hand , then probability of getting an ace = 3/44
13)
Remaining cards = 52-4=48
To get a flush, the probability is : (13-4)/48=9/48
To get a straight one has to get either a 2 or a 7. The probability is : (2*4)/48 = 8/48
To get a straight flush there are only 2 such cards. Thus the probability is 2/48= 1/24
14)
Rolling a single die and getting a 6 and a 2 at the same time, not possible, hence these events are mutually exclusive events.
A person with brown eyes can have red hair as well, thus these events are not mutually exclusive ones.
A person can have either brown eyes or blue eyes, not both. Thus, these events are mutually exclusive ones.
A person can order a vegeterian meal and order a meal with vegetables at the same time. Thus, these events are not mutually exclusive events.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.