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0 Probability & Statistics Tutor

0.2 Combinations

Explain why the number of combinations is always smaller than the number of permutations.
With combinations the order does not matter. With permutations it does, which means that each different order (containing the same values) is seen as a different pair. Meaning A & B and B & A, are counted seprately as 2 different pairs.
With combinations, the order does not matter, meaning A & B and B & A is considered the same and is counted as 1. 
0.3 Fundamentals of Probability
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How do you read: "if P(A) = 1 > event ''A" will occur"
This reads as: "If the probability of some event A, is equal to 1, the event will occur" 
0.4 Addition Rules of Probability
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Why is the probability of Event A or Event B, increasing the probability compared to when we look at only Event A or Event B?
Abc 
0.5 Conditional Probability
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If you were born on june 15th, what is the probability that 2 of your friends have the same birthday as you?
1/365 * 1/365 = 0.0000075 
You flip a coin and toss a single die (on the table). What is the probability that you get tails and a 3?
1/12 
You draw a card from a 52 card deck. You then draw a 2nd card without replacing the first. What is the probability of getting an Ace on the first draw and a King on the second draw?
4/52 * 4/51 = 16/2652 = 4/663 
Jason, Jamie, Sarah, Jill, and Scott arrive at a party randomly and at different times. What is the probability that Jason arrives first and Scott arrives last?
Abc 
Find the probability of getting 8 heads in a row when tossing a coin.
(1/2)^8 
Find the probability of getting three 3's then a 4 or a 5, if you roll a die 4 times.
Abc 
A couple plans to have kids what is the probability there will be atleast one girl?
Abc
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