Poker is a card played with a standard 52 card playing deck. We draw one card at a time without replacement from the top of a shuffled standard poker deck and stop when we draw an ace. Let X be the number of cards we have drawn. What is P( X)?

Step-by-step explanation:

Given that Poker is a card played with a standard 52 card playing deck. We draw one card at a time without replacement from the top of a shuffled standard poker deck and stop when we draw an ace.

There are 4 aces and 48 non aces.

For randomly drawing card for first card we have probability for drawing ace = 4/52 and non ace = 48/52

X = no of cards we have drawn

If X is the total no of cards drawn, then the event should have been

first x-1 cards non aces, and the last card ace.

Hence P(X)

= Drawing x-1 cards from 48 non aces * drawing one card from remaining 52-(x-1) cards

= , x=1,2,.....49

2.   2 3/5.

3.   2 1/2.

step-by-step explanation:

6 - 3 2/5

= 6 -   17/5

= 30/5 - 17/5

= 13/5

= 2 3/5 (answer).

5 1/4 - 2 3/4

= 21/4 - 11/4

= 10/4

= 2 1/2 (answer).

look a the sides they are perpendicular