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1 Answer
Jess
Jan 12, 2018

Event A is independent because the first card is replaced. "Two events are independent if the result of the second event is not affected by the result of the first event." (Varsity Tutors)

There are a total of 3 face cards in a suit of cards, meaning a total of 12 (#3*4=12#) face cards per deck.

The probability of selecting two face cards when the first card is replaced is therefore:
#12/52*12/52#
#=3/13*3/13#
#=9/169#

Event B is dependent because the first card is not replaced. "Two events are dependent if the result of the first event affects the outcome of the second event so that the probability is changed."

The probability of selecting two face cards when the first card is not replaced is therefore:
#12/52*11/51#
#=3/13*11/51#
#=11/221#

https://www.varsitytutors.com/hotmath/hotmath_help/topics/independent-dependent-events

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