Question

In: Statistics and Probability

Cards: Suppose you draw two cards with replacement. Round your answers to 3 significant digits*. (a)...

Cards: Suppose you draw two cards with replacement. Round your answers to 3 significant digits*.

(a) What is the probability of getting a queen then a queen again?
P(queen on the first and queen on the second) =  

(b) What is the probability of getting a queen then a king?
P(queen on the first and king on the second) =  

(c) What is the probability of getting a queen then a spade?
P(queen on the first and spade on the second) =  



...............................................
*Significant Digits: Here are some probabilities expressed to 3 significant digits.
You start counting digits from left to right starting with the first non-zero digit.

0.123      0.0123      0.00123      0.102      0.350      0.300


...............................................
Background playing card information: In a standard deck of playing cards there are 52 cards total.
There are 4 suits:

hearts ♥      diamonds ♦      spades ♠      clubs ♣     

Each suit has 13 values:

2  3  4  5  6  7  8   9  10  jack  queen  king  ace  

Solutions

Expert Solution

Two cards are drawn from the pack of 52 cards

There are 4 suits:

hearts ♥      diamonds ♦      spades ♠      clubs ♣     

Each suit has 13 values:

2  3  4  5  6  7  8   9  10  jack  queen  king  ace  

a)Probability of getting queen on the first =4/52

After replacing the card again total number of cards is 52 and number of queen is 4

Probability of getting queen on the second =4/52

P(queen on the first and queen on the second)=

b) Probability of getting queen on the first =4/52

After replacing the card again total number of cards is 52 and number of king's 4

Probability of getting king on the second =4/52

P(queen on the first and queen on the second)=

c. Probability of getting queen on the first =4/52

Probability of getting spade on the second =13/52

P(queen on the first and spade on the second)=

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Problem 1 (3 + 3 + 3 = 9) Suppose you draw two cards from a...
Problem 1 (3 + 3 + 3 = 9) Suppose you draw two cards from a deck of 52 cards without replacement. 1) What’s the probability that both of the cards are hearts? 2) What’s the probability that exactly one of the cards are hearts? 3) What’s the probability that none of the cards are hearts? Problem 2 (4) A factory produces 100 unit of a certain product and 5 of them are defective. If 3 units are picked at...
Suppose that we draw two cards from a standard deck without replacement. What is the probability...
Suppose that we draw two cards from a standard deck without replacement. What is the probability that we draw the king of hearts and then any other heart? White your answer in decimal form, rounded to three decimal places.
Suppose we draw 5 cards at random, without replacement, from a deck of 52 cards (such...
Suppose we draw 5 cards at random, without replacement, from a deck of 52 cards (such a deck includes 4 Queens). Let X denote the number of Queens drawn. Define some indicator random variables X1,..., X5 so that X = X1+:::+X5. Then use the random variables you created to find E(X). Also calculate the E[X] if this time 5 cards are drawn with replacement.
You draw two cards from a standard deck without replacement and without looking at them. Then...
You draw two cards from a standard deck without replacement and without looking at them. Then the third card is drawn and it is revealed: it is the ace of hearts. What is the conditional probability that your two cards, formerly hidden, are aces?
Consider the following gasoline sales time series. If needed, round your answers to two-decimal digits. Week...
Consider the following gasoline sales time series. If needed, round your answers to two-decimal digits. Week Sales (1,000s of gallons) 1 17 2 23 3 14 4 25 5 17 6 16 7 22 8 19 9 21 10 19 11 17 12 23 (a) Show the exponential smoothing forecasts using α = 0.1, and α = 0.2. Exponential Smoothing Week α = 0.1 α = 0.2 13 (b) Applying the MSE measure of forecast accuracy, would you prefer a...
Consider the following gasoline sales time series. If needed, round your answers to two-decimal digits. Week...
Consider the following gasoline sales time series. If needed, round your answers to two-decimal digits. Week Sales (1,000s of gallons) 1 16 2 22 3 17 4 23 5 15 6 17 7 21 8 19 9 20 10 18 11 15 12 23 (a) Show the exponential smoothing forecasts using α = 0.1, and α = 0.2. Exponential Smoothing Week α = 0.1 α = 0.2 13 (b) Applying the MSE measure of forecast accuracy, would you prefer a...
Consider the following gasoline sales time series. If needed, round your answers to two-decimal digits. Week...
Consider the following gasoline sales time series. If needed, round your answers to two-decimal digits. Week Sales (1,000s of gallons) 1 17 2 21 3 16 4 24 5 17 6 18 7 22 8 20 9 21 10 19 11 16 12 25 (a) Show the exponential smoothing forecasts using α = 0.1, and α = 0.2. Exponential Smoothing Week α = 0.1 α = 0.2 13 (b) Applying the MSE measure of forecast accuracy, would you prefer a...
Consider the following gasoline sales time series. If needed, round your answers to two-decimal digits. Week...
Consider the following gasoline sales time series. If needed, round your answers to two-decimal digits. Week Sales (1,000s of gallons) 1 17 2 21 3 19 4 23 5 18 6 16 7 20 8 18 9 22 10 20 11 15 12 22 (a) Show the exponential smoothing forecasts using α = 0.1, and α = 0.2. Exponential Smoothing Week α = 0.1 α = 0.2 13 (b) Applying the MSE measure of forecast accuracy, would you prefer a...
Consider the following gasoline sales time series. If needed, round your answers to two-decimal digits. Week...
Consider the following gasoline sales time series. If needed, round your answers to two-decimal digits. Week Sales (1,000s of gallons) 1 17 2 21 3 16 4 24 5 17 6 18 7 22 8 20 9 21 10 19 11 16 12 25 (b) Applying the MSE measure of forecast accuracy, would you prefer a smoothing constant of α = 0.1 or α = 0.2 for the gasoline sales time series? An - Select your answer -α = 0.1α...
Consider the following gasoline sales time series. If needed, round your answers to two-decimal digits. Week...
Consider the following gasoline sales time series. If needed, round your answers to two-decimal digits. Week Sales (1,000s of gallons) 1 17 2 21 3 16 4 24 5 17 6 18 7 22 8 20 9 21 10 19 11 16 12 25 (a) Show the exponential smoothing forecasts using α = 0.1, and α = 0.2. Exponential Smoothing Week α = 0.1 α = 0.2 13 (b) Applying the MSE measure of forecast accuracy, would you prefer a...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT