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In the realm of mathematics, probability theory is a crucible for quantifying the likelihood of events. It's a fascinating subject that has profound implications in various fields such as finance, insurance, and even everyday decision making. At its core, probability is expressed as a number between 0 and 1, where 0 signifies an impossibility and 1 denotes certainty.

Considering our nervous kicker, probability theory allows us to determine how likely he is to succeed in his attempts. By providing these odds, we delve into a world of predictability amidst the inherent randomness of the event outcomes.

Understanding dependent events is crucial in our analysis of situations where the outcome of one event influences another. In simple terms, two events are dependent if the occurrence of one affects the probability of the other occurring. This interdependence is common in sequences of events, much like our football kicker's performance.

When he makes his first field goal attempt, this success changes the landscape for the second attempt - they are not isolated events but are interconnected. Capturing this essence is key to grasping the complexities of probability when one event sets the stage for the next.

The calculation of conditional probability is a precise method to compute the likelihood of an event under the influence of a previous occurrence. The formula for finding the conditional probability of B given A is denoted as \( P(B|A) \), fundamentally expressing the probability of B when A is known to have happened.

Applying this to the kicker's scenario, once he nails his first goal (event A), his confidence possibly surges, and the conditional probability of scoring a second goal (event B) becomes a notable 90%. Calculating \( P(A) \) at 70% and using the formula \( P(A and B) = P(A) * P(B|A) \), we multiply these probabilities to ascertain the combined probability of the kicker making both field goals - which shakes out to a 63% chance. This conditional probability is not merely the product of associative math; it encapsulates a story of human psychology and statistical correlation, masterfully intertwined.