Which pair does not represent the probabilities of complementary events?
In order to determine which pair does not represent the probabilities of complementary events, we first need to understand what complementary events are
In order to determine which pair does not represent the probabilities of complementary events, we first need to understand what complementary events are.
Complementary events are two events that cannot occur at the same time. The sum of their probabilities should be equal to 1. In other words, if event A is the event of flipping heads on a coin, then event B is the event of flipping tails on the same coin. If event A has a probability of 0.4, event B will have a probability of 0.6 since 0.4 + 0.6 = 1.
Let’s examine each pair of probabilities and determine if they represent complementary events:
1. P(A) = 0.3 and P(B) = 0.7: The sum of these probabilities is 0.3 + 0.7 = 1, so this pair represents complementary events.
2. P(A) = 0.6 and P(B) = 0.8: The sum of these probabilities is 0.6 + 0.8 = 1.4, which is greater than 1. Therefore, this pair does not represent complementary events.
3. P(A) = 0.2 and P(B) = 0.8: The sum of these probabilities is 0.2 + 0.8 = 1, so this pair represents complementary events.
4. P(A) = 0.9 and P(B) = 0.1: The sum of these probabilities is 0.9 + 0.1 = 1, so this pair represents complementary events.
Based on our analysis, the pair that does not represent the probabilities of complementary events is P(A) = 0.6 and P(B) = 0.8.
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