Suppose that in a particular country, the probability that a randomly chosen person is a left-handed baseball player is 0.017 and the probability that a randomly chosen baseball player is left-handed is 0.250. based on these probabilities, determine the probability, , that a randomly chosen person from this country plays baseball. give your answer as a decimal precise to at least three decimal places.

0.068

Step-by-step explanation:

Let we denote event A for choosing a left-handed player and event B for choosing a baseball player.

Given : The probability that a randomly chosen person is a left-handed baseball player :

The conditional probability that a randomly chosen baseball player is left-handed :

Using the formula for conditional probability:-

i.e. the  probability, , that a randomly chosen person from this country plays baseball will be :

Hence, the required probability : 0.068

The probability that a randomly chosen person from this country plays baseball is 0.068.

Given that in a particular country, the probability that a randomly chosen person is a left-handed baseball player is 0.017 and the probability that a randomly chosen baseball player is left-handed is 0.250, to determine, based on these probabilities, the probability that a randomly chosen person from this country plays baseball the following calculation must be performed:

Given that 0.250, that is, 25% of the country's baseball players are left-handed, we can say that 1/4 of the players have this ability.

So, given that 1/4 of the players represent a probability of 0.017, to determine the probability that a randomly chosen person from this country plays baseball, the following cross multiplication must be considered:

Therefore, the probability that a randomly chosen person from this country plays baseball is 0.068.

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