little stuck on these problems, any help would be awesome.
Two cards are dealt off the top of a well shuffled deck. You have a choice:
(a) To win $1 if the first is a king.
(b) To win $1 if the first is a king and the second a queen.
Which option is better? Or are they equivalent?
For credit, justify by showing what is the probability in each case.
problem 2
Four cards are dealt off the top of a well shuffled deck. You have a choice:
(a) To win $1 if the first card is a club, and the second a diamond, and the third is a heart, and the fourth is a spade, in this order.
(b) To win $1 if the four cards are of four different suits, in any order.
Which option is better? Or are they equivalent?
For credit, justify by showing what is the probability in each case.
problem 3
A consumer organization estimates that over a 1-year period 17% of cars will need to be repaired once, 7% will need repairs twice, and 4% will require three or more repairs. What is the probability that a car chosen at random will need
(a) no repairs at all?
(b) No more than one rpair? (hint: this is the same as: probability of one repair or no repair).
(c) Some repairs? (hint: this is the same as: probability of once, or twice, or three & more)
thanks
Two cards are dealt off the top of a well shuffled deck. You have a choice:
(a) To win $1 if the first is a king.
(b) To win $1 if the first is a king and the second a queen.
Which option is better? Or are they equivalent?
For credit, justify by showing what is the probability in each case.
problem 2
Four cards are dealt off the top of a well shuffled deck. You have a choice:
(a) To win $1 if the first card is a club, and the second a diamond, and the third is a heart, and the fourth is a spade, in this order.
(b) To win $1 if the four cards are of four different suits, in any order.
Which option is better? Or are they equivalent?
For credit, justify by showing what is the probability in each case.
problem 3
A consumer organization estimates that over a 1-year period 17% of cars will need to be repaired once, 7% will need repairs twice, and 4% will require three or more repairs. What is the probability that a car chosen at random will need
(a) no repairs at all?
(b) No more than one rpair? (hint: this is the same as: probability of one repair or no repair).
(c) Some repairs? (hint: this is the same as: probability of once, or twice, or three & more)
thanks