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Describe an event that has a probability of 1 and an event that has a probability of 0?
P(a^~a)==1 P(a&~a)==0 the line above is shorthand notation for an event that has a probability of 1, followed by an event that has a probability of 0. P(event) is an easy way to say the probability of "event". The "^" means "OR", the "~" means "NOT", and the "&" as you are probably familiar means "AND". So puting it together, "P(a^~a)" means the probability that an event "a" occurs OR that event "a" does not occur. So take an event "a", any event, like drawing an 8 of clubs out of a deck of cards. If you draw a random card out of a deck of cards, the probability that you will draw an 8 of clubs OR that you will not draw an 8 of clubs is 1. That means 100%. So when you draw a card you will either draw the 8 of clubs or not draw the 8 of clubs. It seems like an obvious statement to make but its a proof that becomes very important in proving less obvious theories. likewise, the second statement was "P(a&~a)", so the probability that event "a" occurs AND event "a" doesnt occur. Since the event has to either occur or not, it cant occur AND not occur, so the probability is 0.
What is the probability of winning at Blackjack?
You cant win
If you roll two dice what is the probability of the event that you roll a total of three on the two dice?
We need to find two things. FIrst we need to know how many ways there are to roll a 3 and second we need to look at how many total events (the sample space) there are. So we could get a 3 with a 1 and 2 or a 2 and 1. Since we are rolling 2 dice we can't have 3 and 0 since we cant roll a 0. So there are 2 ways to get 3. Now Each die has 6 different outcomes when we roll it so using the multiplication law, we hae 36 possible outcomes. Of these 2 give us a sum of 3 so that is 2/36 or 1/18
If two coins are tossed what is the possible outcome?
When two coins are tossed, the results that can be achieved are HH, HT, TH, and TT where H represents a heads and T represents a tails. The probability of getting two heads is 1/4, and by symmetry the probability of getting two tails is 1/4. The probability of getting one heads and one tails in some order is 1/2 which is the most likely outcome. Who is asking these questions anyway? Why cant we insert E for edge in the equation. Would a coin NEVER land on its' edge? How about in the water? Didn't George attempt to throw a dollar across the Delaware River? Did we ever hear if he made it? If it landed in the muddy bank, odds are better it landed on its edge. If someone keeps asking these vague questions, no one can ever give a definitive answer unless a lot of stupid assumptions are made. Now they won't be stupid if you first list them. Now, let's see your list.
Can the median be used to describe categorical data?
no it cant bec
