There are 52 in a deck You deal a card note the draw replace

There are 52 in a deck. You deal a card, note the draw, replace it and pack, and follow the process 3 times in all. -i- What is ohm or the sixe of the sample space of all outcomes.

Solution

2)

i)

Because we are replacing the card afer each draw , possibilities will remain be 52. So,

Size of sample space of all outcomes = 52*52*52 = 140608 Answer

ii

Possible arrangements are {(2,2,3), (2,3,2), (3,2,2)}, and also there are 4 possible suits in each position since replacement is allowed. Hence, 3×43=192

Therefore, probability = 192 / (52)^3 = 0.001365 Answer

Possible arrangements are {(2,2,3), (2,3,2), (3,2,2)}, and also there are 4 possible suits in each position since replacement is allowed. Hence, 3×43=192 Therefore, probability = 192 / (52)^3 = 0.001365 Answer