red cards
Problem
I wonder how likely it is that I can draw 3 red cards from my pack of 52 cards. I expect it won't happen very much, perhaps it might happen once or twice in 50 trials.
Plan
I have 52 cards in my pack of regular playing cards. I will shuffle the cards face down and turn up three cards at random. I will record the results in a table. I will then return the cards to the pack and reshuffle them. I will repeat this process 50 times. I will use the data to draw a bar chart. The possible outcomes are:
0 red cards
1 red card
2 red cards
3 red cards
Data
I wonder how likely it is that I can draw 3 red cards from my pack of 52 cards. I expect it won't happen very much, perhaps it might happen once or twice in 50 trials.
Plan
I have 52 cards in my pack of regular playing cards. I will shuffle the cards face down and turn up three cards at random. I will record the results in a table. I will then return the cards to the pack and reshuffle them. I will repeat this process 50 times. I will use the data to draw a bar chart. The possible outcomes are:
0 red cards
1 red card
2 red cards
3 red cards
Data
Analysis
I notice that the most frequent result was getting 1 red card which was 38% of the time followed by 2 red cards 32% of the time. I got no red cards 18% of the time and 3 red cards only 12% of the time. The graph is symmetrical with a slight skewing to the right because getting 1 red cards happen more often than getting 0 red cards, 2 red cards or 3 red cards.
I notice that the most frequent result was getting 1 red card which was 38% of the time followed by 2 red cards 32% of the time. I got no red cards 18% of the time and 3 red cards only 12% of the time. The graph is symmetrical with a slight skewing to the right because getting 1 red cards happen more often than getting 0 red cards, 2 red cards or 3 red cards.
Conclusion
I thought I would get less but from my results I see that I got 3 red cards 6 times or 12%. I conclude that in the long run I am most likely to get 1 red card, then the next most likely is to have 2 red cards, followed by no red cards and the least likely is to have all three red cards.
Overall, I expect to get 1 red card the most if I was to repeat the experiment.
I thought I would get less but from my results I see that I got 3 red cards 6 times or 12%. I conclude that in the long run I am most likely to get 1 red card, then the next most likely is to have 2 red cards, followed by no red cards and the least likely is to have all three red cards.
Overall, I expect to get 1 red card the most if I was to repeat the experiment.