Simple probability question - Cards

  • Thread starter Thread starter arron77
  • Start date Start date
  • Tags Tags
    Cards Probability
arron77
Messages
2
Reaction score
0
You have a deck of cards.

I deal out one card each to 3 people. Is it more likely or less likely that AT LEAST one of the people will be dealt a heart?

I require clarification on this, thanks in advance.
 
Physics news on Phys.org
welcome to pf!

hi arron77! welcome to pf! :wink:
arron77 said:
I deal out one card each to 3 people. Is it more likely or less likely that AT LEAST one of the people will be dealt a heart?

in other words: you deal 3 cards: what is the likelihood that at least one will be a heart?

show us how far you've got, and then we'll comment :smile:​
 
well I'm not going into detail this was more to settle a point

player 1 has a 1/4 chance to get a heart, as do the other two players

so combined to me they have a 3/4 chance to get a heart. Thus I should not bet on this game as I would most likely lose
 
If you're new to probability you have to learn to think in an odd way. It is ridiculous to calculate the prob that at least one gets a heart. Try instead the probability that no one gets a heart. You just need to deal from the other 39 cards. Then the prob that at least one gets a heart is 1 minus the prob that nobody gets a heart.
 
arron77 said:
player 1 has a 1/4 chance to get a heart, as do the other two players

so combined to me they have a 3/4 chance to get a heart. Thus I should not bet on this game as I would most likely lose

well, that reasoning has to be wrong :redface: …

if you dealt 1 card to 4 people, would the probability of at least one heart be 4/4 ? :wink:
 
Yes that reasoning is wrong. But the quick answer is that if you deal 1 card each to 3 people then the probability of at least one heart is about 0.59.
 

Thread 'Here's a Statistics problem for game of Polo (or Hockey if you like)'

Namaste & G'day Postulate: A strongly-knit team wins on average over a less knit one Fundamentals: - Two teams face off with 4 players each - A polo team consists of players that each have assigned to them a measure of their ability (called a "Handicap" - 10 is highest, -2 lowest) I attempted to measure close-knitness of a team in terms of standard deviation (SD) of handicaps of the players. Failure: It turns out that, more often than, a team with a higher SD wins. In my language, that...
View full post »

Thread 'Roulette wheel physics and probability'

Hi all, I've been a roulette player for more than 10 years (although I took time off here and there) and it's only now that I'm trying to understand the physics of the game. Basically my strategy in roulette is to divide the wheel roughly into two halves (let's call them A and B). My theory is that in roulette there will invariably be variance. In other words, if A comes up 5 times in a row, B will be due to come up soon. However I have been proven wrong many times, and I have seen some...
View full post »

Similar threads

B Baccarat math and beating the edge
Replies
1
Views
1K
I How Many Unique Games of Commander Can Be Played?
Replies
4
Views
2K
B An Observed Extreme Probability Event
Replies
31
Views
3K
I Calculating Probability of Drawing Card Combos: A Closer Look at Counting
Replies
9
Views
2K
I How to calculate the probabilities here? (3-person card game)
Replies
9
Views
3K
MHB Deck of cards without replacement
Replies
3
Views
4K
Question about probabilities with playing cards
Replies
2
Views
3K
B Card-drawing probability problem
Replies
6
Views
2K
I Card Draw Probability with 2 copies of the same card
Replies
1
Views
1K
B Basic Poker Immediate Odds Question
Replies
5
Views
1K

Hot Threads

Recent Insights

Back
Top