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FinnZ [79.3K]
1 year ago
5

In the game of blackjack played with one​ deck, a player is initially dealt 2 different cards from the 52 different cards in the

deck. a winning​ "blackjack" hand is won by getting 1 of the 4 aces and 1 of 16 other cards worth 10 points. the two cards can be in any order. find the probability of being dealt a blackjack hand. what approximate percentage of hands are winning blackjack​ hands?
Mathematics
1 answer:
Tpy6a [65]1 year ago
6 0

We are given here that a blackjack hand consists of:

1 of the 4 aces = 4 / 52

1 of the 16 cards worth 10 points (10, jack, queen, king) = 16 / 52

 

So assuming that cards are dealt without replacement, therefore the probability of getting a blackjack hand is:

<span>P = 1st is ace * 2nd is 10 pt card + 1st is 10 pt card * 2nd is ace</span>

P = (4 / 52) * (16 / 51) + (16 / 52) * (4 / 51)

P = 0.04827 = 4.83%

 

Therefore there is a 4.83% probability to get a blackjack hand.

<span> </span>

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AysviL [449]
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8 0
2 years ago
To pass inspection, a machine part from a factory must be no thinner than 4.225 centimeter and no thicker than 4.233 centimeters
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Machine should abide by te following:


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4.233-4.225 = 0.008cm.


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6 0
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He slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFractio
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8 0
1 year ago
It is recommended that adults consume at least 1,000 mg of calcium every day. One ounce of whole milk contains about 25 mg of ca
ohaa [14]

Answer:

20 ounces of milk and 3 ounces of cheddar cheese

30 ounces of milk and 4 ounces of cheddar cheese

40 ounces of milk and 5 ounces of cheddar cheese

Step-by-step explanation:

Consider the inequality 25x+200y\geq 1000

Here, x denotes ounces of whole milk and y denotes ounces of cheddar cheese.

To write: three different amounts of milk and cheese that a person could consume to meet the recommendation

Solution:

Take x=20,y=3

25(20)+200(3)\geq 1000\\500+600\geq 1000\\1100\geq 1000

So, x=20,y=3 satisfy the inequality 25x+200y\geq 1000

Take x=30,y=4

25(30)+200(4)\geq 1000\\750+800\geq 1000\\1550\geq 1000

So, x=30,y=4 satisfy the inequality 25x+200y\geq 1000

Take x=40,y=5

25(40)+200(5)\geq 1000\\1000+1000\geq 1000\\2000\geq 1000

So, x=40,y=5 satisfy the inequality 25x+200y\geq 1000

Therefore,

three different amounts of milk and cheese that a person could consume to meet the recommendation are as follows:

20 ounces of milk and 3 ounces of cheddar cheese

30 ounces of milk and 4 ounces of cheddar cheese

40 ounces of milk and 5 ounces of cheddar cheese

5 0
1 year ago
A random survey was taken in Centerville. People in twenty-five homes were asked how many cars were registered to their househol
Ulleksa [173]
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To calculate the median, you list the numbers from least to greatest, and find the middle number. The list for this survey would be 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4. The middle number of this list is 1, therefore, your median is 1.

The mode is simply the number that appears the most in this list. There are 4 zeroes, 9 ones, 7 twos, 3 threes, and 2 fours. The most in this list would be 1, because there are 9 of them. Your mode is 1.

Mean - 1.6
Median - 1
Mode - 1

Answer: A. 1.6, 1, 1


8 0
2 years ago
Read 2 more answers
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