# probability of drawing two cards from a deck

2 cards drawn from a 52 but before the second card is drawn you put the first one back and reshuffle the deck

a) Are the outcomes on the two cards independent and why?

b) Find p(3 on first card and 10 on second), find p(10 on the first card and 3 on second).

c) Find the probability of drawing a 10 and an 3 in either order.

https://brainmass.com/statistics/probability/probability-of-drawing-two-cards-from-a-deck-186360

#### Solution Preview

a) The outcomes on the two cards are independent.

When drawing the second card, the first card is put back. so you still have a 52-card deck, just as when you draw the first card. There are 52 outcomes for both cards.

b) the probability of certain event = outcomes of this event / ...

#### Solution Summary

The solution explains how to find the probability of drawing two cards from a deck when the second card is drawn you put the first one back and reshuffle the deck.