A standard deck of 52 cards is shuffled, and each of 3 people are asked to select a card at(c) the first person selects a heart or the last person selects an ace?
random from the deck. Each time a card is selected, it is returned to the deck and reshuffled.
What is the probability that
(a) all 3 people select different cards?
(b) exactly one of the 3 people selects a heart?
heres what im tinking... let me know if this seens logical
a) (1/52)(1/51)(1/50)
b)(1/52) (1/52) (1/4)
c)
Hello, zackgilbey!
A standard deck of 52 cards is shuffled,
and each of 3 people are asked to select a card at random from the deck.
Each time a card is selected, it is returned to the deck and reshuffled.
What is the probability that
(a) all 3 people select different cards?
The first person can select any card: .
The second must select one of the other 51 cards: .
The third must select one of the other 50 cards: .
(b) exactly one of the 3 people selects a heart?
There are 3 choices for the person who selects the Heart.
He gets a Heart with probability: .
The other two people must select two non-hearts: .
(c) the first person selects a heart or the last person selects an ace?
The first selects a Heart: .
The second can select any card . . . We can ignore him!
The third selects an Ace: .
We also have: .
Formula: .
We have: .
Therefore: .