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taurus [48]
3 years ago
15

Two cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. Find the probability of the

given event. (Round your answer to three decimal places.) A pair is not drawn.
Mathematics
1 answer:
Vlad [161]3 years ago
6 0
<h2>The probability that a pair is not drawn  = 0.765</h2>

Step-by-step explanation:

Here, the total number of cards in the given deck = 52

The total number of suits = 4 (13 cards each)

Now, P( Drawing 2 clubs) = \frac{^{13}C_2}{^{52}C_2}  = \frac{78}{1326}   = (\frac{1}{17} )

Similarly,  P( Drawing 2 diamond ) = \frac{^{13}C_2}{^{52}C_2}  = \frac{78}{1326}   = (\frac{1}{17} )

P( Drawing 2 spades) = \frac{^{13}C_2}{^{52}C_2}  = \frac{78}{1326}   = (\frac{1}{17} )

P( Drawing 2 hearts ) = \frac{^{13}C_2}{^{52}C_2}  = \frac{78}{1326}   = (\frac{1}{17} )

⇒ Probability of drawing 2 clubs or 2 spades or 2 hearts or 2 diamonds

=  P( Drawing 2 clubs) +  P( Drawing 2 diamond ) P( Drawing 2 spades)+ P( Drawing 2 hearts )  = (\frac{1}{17})+  (\frac{1}{17})+ (\frac{1}{17})+ (\frac{1}{17}) = 4\times (\frac{1}{17}) = \frac{4}{17}  = 0.2352

Now, P(NOT DRAWING A PAIR) = 1 - P(DRAWING a PAIR)

                                                       = 1- 0.2352 = 0.7647

Hence, the probability that a pair is not drawn  = 0.7647

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wariber [46]
The problem deals with a division and the rest of it, that is dividing the total amount of pencils into 9 classrooms and the rest, lets express it as fraction:
935/9 = 103 + 8/9
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8 0
3 years ago
Read 2 more answers
PLEASE ANSWER I WILL GIVE YOU BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
morpeh [17]

Answer:

C.

Step-by-step explanation:

y = 6x

if x = 1 , y = 6

if x = 2 , y = 12

if x = 3 , y = 18

if x = 4 , y = 24

4 0
3 years ago
If Ray earns $120 for 15 hours of work how much will he earn for 20 hours of work at the same rate​
Free_Kalibri [48]
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8 0
3 years ago
Pls help I don't understand:
sineoko [7]

Answer:

Part a) T(d)=2d+30

Part b) T(6)=42\ minutes

Step-by-step explanation:

Part a) Write an equation for T (d)

Let

d ----> the number of days

T ---> the time in minutes of the treadmill

we know that

The linear equation in slope intercept form is equal to

T=md+b

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

The slope or unit  rate is

m=2\ \frac{minutes}{day}

The y-intercept or initial value is

b=30\ minutes

substitute

T(d)=2d+30

Part b) Find T (6), the minutes he will spend on the treadmill on day 6

For d=6

substitute in the equation and solve for T

T(6)=2(6)+30

T(6)=42\ minutes

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3 years ago
In Bayes Theorem, you have some starting information, then you collect some new information so that you can _______ the original
sp2606 [1]

In Bayes Theorem, apart from the already starting information, some new information so that you can update or transform the original probabilities so you now have better information.

What is Bayes Theorem?

The Bayes' theorem was named after Thomas Bayes and it is used in probability theory and statistics as one of the fundamental theorems. It estimates the likelihood of an event based on knowledge of circumstances that might be connected to it in the past.

The Formula for Bayes' Theorem

The Bayes' theorem is given as,

P(A|B) = P(A).P(B|A) / P(B)

Here, for two events A and B,

P(A|B) is the probability for likelihood of A when B is true

P(B|A) is probability for likelihood of B when A is true

P(A) is the independent probability of event A

P(B) is the independent probability of event B

Learn more about Bayes' theorem here:

brainly.com/question/17010130

#SPJ4

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