These events are not independent because it is more likely that it will rain in Galveston on days it rains in Houston than on days it does not.The probability that a head comes up on the second toss is 1/2 regardless of whether or not a head came up on the first toss, so these events are independent.You draw a card from a deck, then draw a second card without replacing the first.The two events (1) “It will rain tomorrow in Houston” and (2) “It will rain tomorrow in Galveston” (a city near Houston).
The two events are (1) first toss is a head and (2) second toss is a head. Independent events if the probability of Event B occurring is the same whether or not Event A occurs. The prior example was looking at two independent events. The sample space is the set of all possible simple events. If we roll a standard 6-sided die, describe the sample space and some simple events.
Subjective in nature, in other words an educated guess. When a weather reporter says “there is a 10% chance of rain tomorrow,” she is basing that on prior evidence that out of all days with similar weather patterns, it has rained on 1 out of 10 of those days. Suppose we flipped a coin over and over and over again and it came up heads about half of the time we would expect that in the future whenever we flipped the coin it would turn up heads about half of the time. One would beĮxperimental in nature, where we repeatedly conduct an experiment. There are several ways of viewing probability. The probability of a specified event is the chance or likelihood that it will occur.