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Published byBernard Neal Sullivan Modified over 9 years ago
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The Laws of Probability As They Pertain To Genetics
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P = F/T The probability of any event is the quotient of the favorable outcomes divided by the total number of possible outcomes
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P = 4 aces/52 cards =1/13 What is the probability of drawing an ace from a deck of regular playing cards with one blind draw?
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The probability of an event sure not to happen is zero
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What is the probability of throwing a seven (7) with one toss of a regular die?
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Zero! It is certain not to happen because there is no 7 on the die P = 0/6 = 0
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The probability of an event sure to happen is one (1)
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What is the probability of a steel shot hitting the surface below it when it is released?
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One! Because of the law of gravity it is certain to happen.
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The probability of simultaneous events is the product of their individual probabilities. (AND)
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Toss a pair of dice. What is the P of throwing a six on one while throwing a six on the other?
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P = F/T X F/T The P of one 6 is 1/6 and the P of the other 6 is 1/6. The P of simultaneous events (occurring at the same time) is 1/6 X 1/6, or 1/36.
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The probability of mutually exclusive events is the sum of their individual probabilities (OR)
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Flip a penny. What is the P you will get a heads or a tails?
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If you flip a heads, you can’t get a tails. If you flip a tails, that eliminates the possibility of a heads. You have mutually exclusive events. So…………
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P = F/T + F/T P = ½ + ½ = 1 +
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The probability of an event is not affected by previous outcomes
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After these results, what is the P of flipping heads on the next toss? ?
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P = F/T = ½ Previous outcomes have no effect on the next toss!
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¼ is the same as 1:3 1:3 0.25 0.25 25% 25% How?
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¼ means the same as 1 favorable result to 3 unfavorable results…… 1:3
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¼ means 1 divided by four which is 0.25
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¼ means 0.25, which is read 25/100 which is 25% 0.25 X 100% = 25%
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With one draw from the deck what is the P of drawing: A 5? A 5? A heart? A heart? A 5 or a 7? A 5 or a 7? An ace and a heart? An ace and a heart? A face card? A face card?
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Each of us puts our first name on a slip of paper and places it in a can. We draw one name. What is the P that it will be a girl’s name? What is the P that it will start with the letter R?
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With one toss of a pair of dice, what is the P of getting: Snake eyes? Snake eyes? A 7 or 11? A 7 or 11? An unlucky 13? An unlucky 13?
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Toss 4 dice. What is the P of getting a 1 on each of them (a total of 4)?
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You still want to gamble?
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