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The Laws of Probability As They Pertain To Genetics.

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Presentation on theme: "The Laws of Probability As They Pertain To Genetics."— Presentation transcript:

1 The Laws of Probability As They Pertain To Genetics

2 P = F/T The probability of any event is the quotient of the favorable outcomes divided by the total number of possible outcomes

3 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?

4 The probability of an event sure not to happen is zero

5 What is the probability of throwing a seven (7) with one toss of a regular die?

6 Zero! It is certain not to happen because there is no 7 on the die P = 0/6 = 0

7 The probability of an event sure to happen is one (1)

8 What is the probability of a steel shot hitting the surface below it when it is released?

9 One! Because of the law of gravity it is certain to happen.

10 The probability of simultaneous events is the product of their individual probabilities. (AND)

11 Toss a pair of dice. What is the P of throwing a six on one while throwing a six on the other?

12 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.

13 The probability of mutually exclusive events is the sum of their individual probabilities (OR)

14 Flip a penny. What is the P you will get a heads or a tails?

15 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…………

16 P = F/T + F/T P = ½ + ½ = 1 +

17 The probability of an event is not affected by previous outcomes

18 After these results, what is the P of flipping heads on the next toss? ?

19 P = F/T = ½ Previous outcomes have no effect on the next toss!

20 ¼ is the same as 1:3 1:3 0.25 0.25 25% 25% How?

21 ¼ means the same as 1 favorable result to 3 unfavorable results…… 1:3

22 ¼ means 1 divided by four which is 0.25

23 ¼ means 0.25, which is read 25/100 which is 25% 0.25 X 100% = 25%

24

25 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?

26 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?

27 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?

28 Toss 4 dice. What is the P of getting a 1 on each of them (a total of 4)?

29 You still want to gamble?


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