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let's say we want to roll a 6-sided die and so let's write the sample space for that so we have six possible outcomes we can get any number between one and six now let's say that event a includes the outcomes all natural numbers so less than or equal to four an event B has the outcomes three four and five given us information what is the probability of event a and event B occurring what do you think the answer is to this question in order to find out the first thing we need to do is write the sample space of events a and B so this is the intersection of a and B so the numbers that corresponds to event a and B are three and four now the probability is equal to the number of favorable outcomes divided by the total number of possible outcomes so we have two numbers where a and B will both be occurring out of six potential outcomes so the probability is going to be two over six which we can reduce that to as 2 times 1/6 is three times two and so this becomes a proba

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