Ask question

Ask question

All categories

2 years ago

7

A 5-card hand is dealt from a well-shuffled deck of 52 playing cards. What is the probability that the hand contains cards from

at least 3 different suits?

1 answer:

Elina [12.6K]2 years ago

5 0

Answer:

0.2637

Step-by-step explanation:

P(A) = 4 x (13/2) x 13^3/(52/5) = (rounded: 0.264) (Real answer: 0.2637)

You might be interested in

In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In 2010, Haiti also experienced a

serg [7]

Answer:

The intensity of the earthquake in Chile was about 16 times the intensity of the earthquake in Haiti.

Step-by-step explanation:

Given:

magnitude of earthquake in Chile = 8.2

magnitude of earthquake in Haiti = 7.0

To find:

Compare the intensities of the two earthquakes

Solution:

The magnitude R of earthquake is measured by R = log I

R is basically the magnitude on Richter scale

I is the intensity of shock wave

For Chile:

given magnitude R of earthquake in Chile = 8.2

R = log I

8.2 = log I

We know that:

$y = log a_{x}$ is equivalent to: $x = a^{y}$

$R = log I$

8.2 = log I becomes:

$I = 10^{8.2}$

So the intensity of the earthquake in Chile:

$I_{Chile} = 10^{8.2}$

For Haiti:

R = log I

7.0 = log I

We know that:

$y = log a_{x}$ is equivalent to: $x = a^{y}$

$R = log I$

7.0 = log I becomes:

$I = 10^{7.0}$

So the intensity of the earthquake in Haiti:

$I_{Haiti} = 10^{7}$

Compare the two intensities :

$\frac{I_{Chile} }{I_{Haiti} } }$

$= \frac{10^{8.2} }{10^{7} }$

= $10^{8.2-7.0}$

= $10^{1.2}$

= 15.848932

Round to the nearest whole number:

16

Hence former earthquake was 16 times as intense as the latter earthquake.

Another way to compare intensities:

Find the ratio of the intensities i.e. $\frac{I_{Chile} }{I_{Haiti} } }$

$log I_{Chile}$ - $log I_{Haiti}$ = 8.2 - 7.0

$log(\frac{I_{Chile} }{I_{Haiti} } })$ = 1.2

Convert this logarithmic equation to an exponential equation

$log(\frac{I_{Chile} }{I_{Haiti} } })$ = 1.2

$10^{1.2}$ = $\frac{I_{Chile} }{I_{Haiti} } }$

Hence

$\frac{I_{Chile} }{I_{Haiti} } }$ = 16

6 0

3 years ago

You are a sportswriter for a newspaper. Today you are writing an article about a professional basketball player. During the play

Paha777 [63]

For this case we can make the following rule of three:
1507 ----> 100%
1213 ----> x
Clearing the value of x we have:
x = (1213/1507) * (100)
x = 80.4910418
Rounding off we have:
x = 80.5%
Answer:
this player has made 80.5% of free throws

4 0

3 years ago

In an experiment, the population of bacteria is increasing

Nezavi [6.7K]

25 million

number of bacteria doubles every minute

6 0

3 years ago

I need help plz plz plz

Katena32 [7]

Your answer to this question is B

3 0

3 years ago

an empty container has a mass of 120 grams. 50 ml of sugar solution is added and the total mass rises to 190g. what is the densi

uranmaximum [27]

The mass of the solution is 190 g - 120 g = 70 g. Thus, it's density is 70 g / 50 mL = 1.4 g/mL.

7 0

3 years ago