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

.19875994384

step-by-step explanation:

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