Joint probabilities
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A joint probability is the probability that two events occur together.
Scenario: Consider the table below detailing Delta Apple Pi's bid breakdown from this year's rush season. Calculate the probability of a recruit receiving a bid who wore a hat.
| Received bid | Did not receive bid | ||
|---|---|---|---|
| Wore a hat | 15 | 60 | 75 |
| Did not wear a hat | 25 | 100 | 125 |
| 40 | 160 | 200 |
| Clue | Insight |
|---|---|
| We're assessing the probability of two events (receiving a bid and wore a hat) occurring... | ...meaning this is a joint probability. |
Joint Probability = Cell Value / Grand Total
Received bid & Wore hat = 15
Total Recruits = 200
P(Received Bid) = 15 / 200
P(Received Bid) = 0.075
Answer: The probability of a recruit receiving a bid who wore a hat is 0.075.
All joint probabilities
| Received bid | Did not receive bid | ||
|---|---|---|---|
| Wore a hat | 15 | 60 | 75 |
| Did not wear a hat | 25 | 100 | 125 |
| 40 | 160 | 200 |
Joint probabilities are represented by the cells in a contingency table.
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Question 1 of 2
1. Question
What type of probability could we consider a junior who made varsity?
Freshman Sophomore Junior Senior Made Varsity 2 3 8 9 22 Made Junior Varsity 8 12 3 0 23 Got cut 3 4 1 1 9 13 19 12 10 54 CorrectIncorrect -
Question 2 of 2
2. Question
Solve for the probability of a junior making varsity.
Freshman Sophomore Junior Senior Made Varsity 2 3 8 9 22 Made Junior Varsity 8 12 3 0 23 Got cut 3 4 1 1 9 13 19 12 10 54 CorrectIncorrect