Question
In a card game, each player is dealt 4 cards from an ordinary deck of 52 playing cards. Determine the probability of being dealt a hand containing three cards of one denomination and one of another. Use counting rules to determine the probability. Find the specified probability. The number of loaves of rye bread left on the shelf of a local bakery at closing (denoted by the random variable X) varies from day to day. Past records show that the probability distribution of X is as shown in the following table. Find the probability that there will be at least three loaves left over at the end of any given day.
Explanation / Answer
Q 13.
Select a card type from 13 cards = 13C1 ways
Select 3 of the 4 cards: 4C3=4 ways
Select a 2nd card type: 12C1ways
Select 1 of the 4 cards = 4C1 ways
Total = 13C1*4C3*12C1*4C1
No of ways to select 4 cards from 52 cards - 52C4
Probability = 13C1*4C3*12C1*4C1/52C4 =13*4*12*4/270725 = 2496/270725 = 0.0092