Question

Suppose you pick 4 cards randomly from a well-shuffled standard deck of 52 playing cards.

Answer 1

1/52 x 1/51 x 1/50 x 1/49
= 1/ 6,497,400

Answer 2

Answer:

The probability is:

1/6, 497, 400

Step-by-step explanation:

We are given that:

We pick 4 cards randomly from a well-shuffled standard deck of 52 playing cards.

We are asked to find the probability such that:

We draw 2, 4, 6, and 8 of spades in that order.

i.e. firstly we have to draw a 2 of a spade.

at second turn we have to draw a 4 of a spade.

at third turn we have to draw a 6 of a spade.

at the last draw we have to draw 8 of a spade.

As there are total 52 cards.

The probability of drawing a 2 of a spade at first turn= 1/52.

The probability of drawing a 4 of a spade at second turn= 1/51.

( since 1 card has been drawn out in the first turn).

The probability of drawing a 6 of a spade at third turn= 1/50.

The probability of drawing a 8 of a spade at fourth turn= 1/49

Hence, the total probability  that you draw the 2, 4, 6, and 8 of spades in that order is :

$=\dfrac{1}{52}\times \dfrac{1}{51}\times \dfrac{1}{50}\times \dfrac{1}{49}\\ \\\\=\dfrac{1}{6497400}$