Question

55 points if someone gets it right

You draw twice from this deck of cards.


Letters: G F F B D H


What is the probability of drawing an F, then drawing an F without the first replacing a card? Write you answer as a fraction

Answer 1

Answer is 1/6 because the Probability = number of favourable income / total number of cards

Answer 2

The probability of first drawing an F and then again drawing an F (without replacing the first card) is,

P = 1/15

Explanation:

There are a total of 6 letters at first

2 of these are Fs

So, the probability of drawing an F would be,

2/6 = 1/3

Then, since we don't replace the card,

there are 5 cards left, out of which 1 is an F

So, the probability of drawing that F will be,

1/5

Hence the total probability of first drawing an F and then again drawing an F (without replacing the first card) is,

P = (1/3)(1/5)

P = 1/15