Write the symbols for the probability that of all the outfielders, a player is not a great hitter.
1 answer:
The symbolic representation of the conditional probability
This is a conditional probability problem ; which can be expressed explicitly as ;
- The probability of not being a great hitter Given that the player is an outfielder
- Recall :
Probability of A given B is defined as ;
Let :
Probability that a player is an outfielders = P(O)
Probability that a player is a Great hitter = P(G)
- Probability that a player is not a great hitter = P(G')
- Probability that a player is not a great hitter given that he is an outfielder = P(OnG')
Therefore, we have :
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*Note: We do not divide by because in this case, order matters. A different order of the same four books still produces different arrangements, so the order matters.