probability key. you are given a standard deck of 52 playing cards, which consists of 4 suits:...
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![Page 1: Probability Key. You are given a standard deck of 52 playing cards, which consists of 4 suits: diamonds, hearts, clubs, and spades. Each suit has 13 cards](https://reader036.vdocuments.site/reader036/viewer/2022062318/5519bebc55034660578b4ab6/html5/thumbnails/1.jpg)
Probability Key
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You are given a standard deck of 52 playing cards, which consists of 4 suits: diamonds, hearts, clubs, and spades. Each suit has 13 cards as follows: ace, deuce, trey, four, five, six, seven, eight, nine, ten, jack, queen, and king. The jacks, queens and kings are picture cards. There are no joker cards in a standard deck. There is four of a kind,
one in each suit.
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The First Law of Probability : the results of the first trial of a chance event do not
affect the results of later trials of the same event. In other words,
no matter how many times a flipped coin lands on tails,
every flip still has a ½ chance of tails.
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What is the probability of picking a spade from a full deck
of cards?
52 playing cards4 suits
13 cards in each suit
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What is the probability of picking a spade from a full deck of cards?
13/52 = .25 = 25%
52 playing cards4 suits
13 cards in each suit
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What is the probability of picking an ace from a full deck of cards?
52 playing cards4 suits
13 cards in each suit
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What is the probability of picking an ace from a full deck of cards?
4/52 = .076
52 playing cards4 suits
13 cards in each suit
![Page 8: Probability Key. You are given a standard deck of 52 playing cards, which consists of 4 suits: diamonds, hearts, clubs, and spades. Each suit has 13 cards](https://reader036.vdocuments.site/reader036/viewer/2022062318/5519bebc55034660578b4ab6/html5/thumbnails/8.jpg)
What is the probability of picking a card with a face value less than five?
52 playing cards4 suits
13 cards in each suit
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16/52 = .31 = 31%
52 playing cards4 suits
13 cards in each suit
What is the probability of picking a card with a face value less than five?
![Page 10: Probability Key. You are given a standard deck of 52 playing cards, which consists of 4 suits: diamonds, hearts, clubs, and spades. Each suit has 13 cards](https://reader036.vdocuments.site/reader036/viewer/2022062318/5519bebc55034660578b4ab6/html5/thumbnails/10.jpg)
52 playing cards4 suits
13 cards in each suitjacks, queens and kings are picture cards
What is the probability of picking a picture card?
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52 playing cards4 suits
13 cards in each suitjacks, queens and kings are picture cards
What is the probability of picking a picture card?
12/52 = .23 = 23%
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What is the probability of a family having a baby boy?
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What is the probability of a family having a baby boy?
1/2 = .50 = 50%
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What is the probability of a family
having a second baby boy?
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What is the probability of a family
having a second baby boy?
1/2 = .50 = 50%
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. What is the probability of rolling a six when one die is rolled?
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. What is the probability of rolling a six when one die is rolled?
1/6 = .17 = 17%
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What is the probability of rolling a sum of 9 when two dice are
rolled?
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What is the probability of rolling a sum of 9 when two dice are
rolled?
4/12 = 1/3 = .33 = 33%
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Second Law of Probability: The probability of two or more
independent events occurring together is the product of
their separate probabilities. In other words, if there is a 50%
(1/2) chance of a couple having one boy,
there is a 1/2X1/2X1/2X1/2 chance or 1/16 chance of a couple having 4
boys.
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Second Law of Probability: The probability of two or more independent events occurring together is the product of their separate
probabilities.
What is the probability of obtaining two fours in the random tossing of
a pair of dice?
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Second Law of Probability: The probability of two or more independent events occurring together is the product of their separate
probabilities.
What is the probability of obtaining two fours in the random tossing of
a pair of dice?1/6 x 1/6 = 1/36 = .028 = 2.8%
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Second Law of Probability: The probability of two or more independent events occurring together is the product of their separate
probabilities.
What is the probability of obtaining a six and a three in the random
tossing of a pair of dice?
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Second Law of Probability: The probability of two or more independent events occurring together is the product of their separate
probabilities.
What is the probability of obtaining a six and a three in the random
tossing of a pair of dice? 1/6 x 1/6 = 1/36 = .028 = 2.8%
![Page 25: Probability Key. You are given a standard deck of 52 playing cards, which consists of 4 suits: diamonds, hearts, clubs, and spades. Each suit has 13 cards](https://reader036.vdocuments.site/reader036/viewer/2022062318/5519bebc55034660578b4ab6/html5/thumbnails/25.jpg)
What is the probability of winning the Texas lottery?
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What is the probability of winning the Texas lottery?
1/50 x 1/49 x 1/48 x 1/47 x 1/46 x 1/45 …..According to Ask Jeeves:
The number of combinations of 6 items taken from a pool of 50 is:15,890,700
Only 1 of these will be the winning combination, So you have 1 chance in
15,890,700 of winning with a single lottery ticket. Therefore,
the probability is 1/15,890,700 or about 0.000000063.
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What is the probability that two fraternal twins
( twins resulting from two eggs and two sperm) will both be
girls?
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What is the probability that two fraternal twins
( twins resulting from two eggs and two sperm) will both be
girls?
1/2 x 1/2 = 1/4 = .25 = 25%
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What is the probability that two identical twins will both be
girls?
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What is the probability that two identical twins(twins resulting from one egg and one sperm) will
both be girls?
1/1 x 1/1= 1/1 = 1 = 100%
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What is the probability that two identical twins
will consist of one boy and one girl?
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What is the probability that two identical twins
will consist of one boy and one girl?
0/1 x 0/1 = 0 = 0%
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Third Law of Probability: The probability that either of
two mutually exclusive events will occur
is the sum of their separate probabilities.
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What is the probability of rolling a one or a two in a single toss of a
die? How many sides to a die?
Third Law of Probability: The probability that either of
two mutually exclusive events will occur
is the sum of their separate probabilities.
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What is the probability of rolling a one or a two in a single toss of a
die? One die has six sides.
1/6 + 1/6 = 2/6 = 1/3 = .33 = 33%
Third Law of Probability: The probability that either of
two mutually exclusive events will occur
is the sum of their separate probabilities.
![Page 36: Probability Key. You are given a standard deck of 52 playing cards, which consists of 4 suits: diamonds, hearts, clubs, and spades. Each suit has 13 cards](https://reader036.vdocuments.site/reader036/viewer/2022062318/5519bebc55034660578b4ab6/html5/thumbnails/36.jpg)
What is the probability of rolling a total of two
or a total of twelve with a pair of dice?
Third Law of Probability: The probability that either of
two mutually exclusive events will occur
is the sum of their separate probabilities.
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What is the probability of rolling a total of two
or a total of twelve with a pair of dice?
1/6 x 1/6 = 1/36 + 1/6 x 1/6 = 1/36.056 = 5.6 %
Third Law of Probability: The probability that either of
two mutually exclusive events will occur
is the sum of their separate probabilities.