Question

Write the symbols for the probability that of all the outfielders, a player is not a great hitter.

Answer 1

The symbolic representation of the conditional probability

$P(G'|O) = \frac{P(G'nO)}{P(O)}$

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 ;

$P(A|B) = \frac{P(AnB)}{P(B)}$

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 :

$P(G'|O) = \frac{P(G'nO)}{P(O)}$

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