Question

A card is drawn from a standard deck of 52 cards and then placed back into the deck. Find the probability that a four is drawn at least once by the third draw. Round your answer to two decimal places.

Answer 1

Answer:-

Given that:-

A card is drawn from a standard deck of 52 cards and then placed back into the deck.the probability that a four is drawn at least once by the third draw. Round your answer to two decimal places.

Total outcome of drawing at least one king out of 4 draws units replacement are 16. i.e., outcome of drawing one kiy and then other cards .

where N denotes not a king .

probability of drawing one king in either of the first draws is

  

similarly , probability of drawing a king in the second draw is & four 15 draw is third draw

is 7 four 15 draw is

So, The probability of drawing one king in four draws is

out come of drawing two kings

probability of getting 2 king =

  

out comes of drawing Three kings

out comes

probability of getting three kings

outcome of drawing all 4 king .

probability of drawing all four king =

Now , the probability of getting atleast one king in four draws with replacement can be get by adding the probability of occurrance of individual event i.e

  

or %