A box contains 4 marbles, 2 red, 1 green, 1 blue. Consider an experiment that co
ID: 3202396 • Letter: A
Question
A box contains 4 marbles, 2 red, 1 green, 1 blue. Consider an experiment that consists of taking 1 marble from the box, then replacing it in the box and drawing a second marble from the box. Describe the sample space. repeat when the second marble is drawn without first replacing the first marble Two dice are thrown. Let E be the event that the sum of the dice is odd: let F be the event that at least one of the dice lands on 1; and let G be the event that the sum is 5. Describe the events EF, E U F FG, EF^C, and EFG.Explanation / Answer
As multiple questions are posted, only the first one will be answered.
2. Let R denote red marble, G denote green marble and B denote blue marble being picked up.
For the case with replacement of marbles, sample space is given by:
{RR, RG, RB, GR, GG, GB, BR, BG, BB}
This is because once a marble is picked and then replaced, it is available for being picked again. So BB and GG are possible events.
For the case without replacement of marbles, sample space is given by:
{RR, RG, RB, GR, GB, BR, BG}
This is because once a marble is picked and then it is not replaced, it is not available for being picked again. So BB and GG are no longer possible events.
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