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

The probability of drawing a king then getting an I is

Step-by-step explanation:

Topic: Independent Probability

Given:

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

; By Substitution, we have

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

; By Substitution, we have

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 and it's calculated as follows;

By Substitution

Hence, the probability of drawing a king then getting an I is

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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