Mathematics, 02.08.2019 03:30, davienwatson8

Acard is drawn from a standard deck and a letter is chosen from the word incredible . what is the probability of drawing a king then getting an i

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answered: edmundg2238

The probability of drawing a king then getting an I is $\frac{1}{65}$

Step-by-step explanation:

Topic: Independent Probability

Given:

Standard deck of cardsThe word, incredible

There are 52 cards in a deck, out of which 4 are kings.

Let n(C) represents the number of cards and n(K) represents the number of Kings

n(C) = 52

n(K) = 4

The probability of getting a king is calculated as follows;

Let P(K) represents the probability of getting a king

$P(K) = \frac{n(K)}{n(C)}$ ; By Substitution, we have

$P(K) = \frac{4}{52}$

$P(K) = \frac{1}{13}$

There are 10 letters in the word incredible, out of which 2 are letter i.

Let n(W) represents the number of letters and n(I) represents the number of letter i

n(W) = 10

n(I) = 2

The probability of getting a letter i is calculated as follows;

Let P(I) represents the probability of getting a letter i

$P(I) = \frac{n(I)}{n(W)}$ ; By Substitution, we have

$P(K) = \frac{2}{10}$

$P(K) = \frac{1}{5}$

The two events above are independent. Two events are said to be independent if the incidence of one event does not affect the probability of the other event.

So, the probability of drawing a king then getting an I is represented as P(K n I) and it's calculated as follows;

P(K n I) = P(K) * P(I)

By Substitution

$P(K n I) = \frac{1}{13} * \frac{1}{5}$

$P(K n I) = \frac{1}{65}$

Hence, the probability of drawing a king then getting an I is $\frac{1}{65}$

answered: Guest

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !

answered: Guest

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

= pi 5^2

= 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360 60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

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Acard is drawn from a standard deck and a letter is chosen from the word incredible . what is the pr...