Final answer:
The question involves probability functions related to events G and E. The AND function is for the probability of both events occurring, whereas the OR function is for at least one event occurring. To determine mutual exclusivity, you compare P(G AND E) with zero.
Step-by-step explanation:
Based on the list you've provided, it appears that the question involves finding specific probabilities related to events G and E. Without the specific context or data, we cannot directly enter a formula in cell G4. However, we can talk about the functions mentioned (OR, AND, NOT, XOR) and their relevance to probability.
The AND function in probability is used to find the probability that both events will occur simultaneously. It is found by using the formula P(G AND E), which denotes the probability that both events G and E happen at the same time.
The OR function is used to determine the probability that at least one of the events will occur. This can be calculated with the formula P(G OR E). If G and E are mutually exclusive, meaning they cannot occur at the same time, you simply add the probabilities: P(G) + P(G).
If G and E are not mutually exclusive, you would need to subtract the probability of both occurring together from the sum of their individual probabilities, P(G) + P(E) - P(G AND E).
To justify numerically whether G and E are mutually exclusive, you compare the probability of P(G AND E) with zero. If P(G AND E) is zero, then they are mutually exclusive.
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