Question

For all the problems in this assignment you must enter your answers as a fraction or a product of fractions. For example, if your answer is 4/52 * 3/51 or 1 - 13/52 * 12/51, leave it in that form using * to indicate multiplication and ^ to indicate raising a number to a certain power. (eg. (5/6)^3 means 5/6*5/6*5/6 or (5/6)3.) a. Draw 2 cards with replacement. What is the chance that the first is a heart and the second is a heart

Answer 1

13/52 * 12/51

Explanation:

Given the question :

Probability of drawing two hearts from a card deck when picked without replacement :

Number of cards in deck = 52

Number of hearts in card deck = 13

Probability = required outcome / Total possible outcomes

First pick (p1) :

P(picking a heart) = 13 / 52

Second pick ( without replacement) (p2):

P(picking a heart) = 12 / 51

Hence,

P(heart on first and Second pick) :

P1 × P2

= 13/52 * 12/51