Question

Determine whether the following individual events are independent or dependent. Then find the probability of the combined event Drawing three non-face cards in a row from a standard deck of cards when the drawn card is not returned to the deck each time. 

The event of drawing a non-face card and the event of drawing a non-face card the next time are 

The probability of drawing three non-face cards in a row from a standard deck of cards when the drawn card is not returned to the deck each time is 

Answer 1

Answer 2

Answer. Dependent Event.

Drawing a non face.card and then again drawing it without replacing is a dependent Event as outcome of first event effects the other. So drawing cards without replacement is dependent event.

Number of non face cards in deck for first draw= 40

Face card remaining after first draw for second draw= 39 (total cards = 51)

Face card remaining after second draw for third draw=38 ( total cards = 50)

Probability of drawing back to back three non face cards without replacement = (40×39×38)/(52×51×50)

Probability= 38/85 or 0.4471