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 11 months ago
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