Suppose you draw two cards with replacement . Round your answers to 3 significan

Question

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 jack?
P(queen on the first and jack 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  

Explanation / Answer

a) P(queen on the first and queen on the second) = 4C1/52C1 * 4C1/52C1 = 0.006

b) P(queen on the first and jack on the second) = 4C1/52C1 * 4C1/52C1 = 0.006

c) P(queen on the first and spade on the second) = 4C1/52C1 * 13C1/52C1 = 0.019

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