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Alja [10]
2 years ago
9

The odds that you will pick a heart from a standard deck of 52 cards is 13:39. True or False?

Mathematics
2 answers:
kondor19780726 [428]2 years ago
6 0
Depends on what you mean by 'odds'.

The probability of picking a heart from a standard deck is 13/52 = 1/4 .

I think 13:39 or "one to three in favor" is correct,
but I'm not that solid working with 'odds'.
mezya [45]2 years ago
4 0

Answer:

The given statement is true.

Step-by-step explanation:

Given statement : The odds that you will pick a heart from a standard deck of 52 cards is 13:39.

The odds for an event is the ratio of favorable outcomes to the unfavorable outcomes.

In a standard deck of cards:

Total number of cards = 52

Total number of heart cards = 13

Total number of card which are not heart = 52 - 13 = 39

The odds of picking a heart from a standard deck of 52 cards is

Odds=\frac{\text{Number of heart cards}}{\text{Number of cards which are not heart}}

Odds=\frac{13}{39}

The odds that you will pick a heart from a standard deck of 52 cards is 13:39.

We can further simplify the above ratio.

Odds=\frac{1}{3}

The odds that you will pick a heart from a standard deck of 52 cards is 13:39 or 1:3.

Therefore the given statement is true.

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Let X denote a random variable which corresponds to the number of players in a team who get injured during a game. If we assume
Feliz [49]

Answer:

(a)

The values of X can be 0, 1, 2 , ..., 10 . So, X is a discrete random variable.

(b)

The distribution of X is Binomial distribution with the parameters n = 10 and p = 0.2

(c)

Probability that no one or one person will be injured = P(X = 0) + P(X = 1)

= 10C0 * 0.20 * (1 - 0.2)10-0 + 10C1 * 0.21 * (1 - 0.2)10-1

= 0.810 + 10 * 0.2 * 0.89

= 0.3758096

(d)

Average value of X = np

Average value of X = 10 * 0.2 = 2

(e)

Variance of X = np(1-p)

Variance of X = 10 * 0.2 * (1 - 0.2) = 1.6

(f)

Number of ways in which 2 people gets injured = 10C2 = 10! / ((10-2)! 2!) = (10 * 9) / (2 * 1) = 45

Assume the best player got injures, number of ways in which one people out of remaining 9 people gets injured = 9C1

= 9! / ((9-1)! 1!)

= 9

Probability that the best player got injured = Number of ways in which 1 people gets out of 9 and best person gets injured / Number of ways in which 2 people gets injured

= 9 / 45

= 0.2

4 0
3 years ago
Which equation represents a line which is parallel to the line y = -7/2x-3
Maksim231197 [3]

You do not have the options listed, but I will tell you what the line needs:

[] A parallel line will need the same slope.

- The slope is our m in y = mx + b

[] What will this be for our problem:

- y=\frac{-7}{2}x-3

- Our slope is \frac{-7}{2}

[] So what will the line look like:

- y=\frac{-7}{2}x +?

- Since you do not have the options listed, I cannot tell you the answer, but I can tell you the answer will have a slope of \frac{-7}{2}

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

5 0
2 years ago
How many batches of muffins can you make from a 4lb bag of sugar if a batch takes 3/4 cup
slava [35]
Four batches should be the correct answer
3 0
3 years ago
Pls just look at the pic to find the question
kvasek [131]
If you count the squares, you will see that there is 3 squares or units between Q and R and 7 squares or units between P and Q
Answer is D.
5 0
2 years ago
If you go out to eat with 3 friends and your meal was $72.50, there is 6.75% sales tax and you should tip the waiter 15%. How mu
zhuklara [117]

Answer:

$29.67

Step-by-step explanation:

first you would fin out how much the total would be with the sales tax( which is equal to $4.89) added to the initial cost which should add up to $77.39

the 15% tip would add $11.61 to the $77.39

divide 89 by 3 which should give you 29.67

6 0
2 years ago
Read 2 more answers
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