Question

1) What is the probability of drawing three aces in a row from a standard deck of cards when the drawn card is returned to the deck each time? 2)Is the event of drawing either a 10 or a heart from a regular deck of cards and overlapping or non-overlapping?

2) Is the event of drawing either a 10 or a heart from a regular deck of cards and overlapping or non-overlapping?

Answer 1

1) What is the probability of drawing three aces in a row from a standard deck of cards when the drawn card is returned to the deck each time?

P[ Drawing an ace ] = 4/52 = 1/13

ince the card is returned

P[ Darwing 3 ace ] = P[ Drawing an ace ]*P[ Drawing an ace ]*P[ Drawing an ace ]

P[ Darwing 3 ace ] = (1/13)*(1/13)*(1/13)

P[ Darwing 3 ace ] = 1/2197

2)Is the event of drawing either a 10 or a heart from a regular deck of cards and overlapping or non-overlapping?

Since there exists a heart numbered 10

Hence, the events are overlapping