An urn contains four balls, labeled 1 to 4. Balls are drawn at random one by one

Question

An urn contains four balls, labeled 1 to 4. Balls are drawn at random one by one, without replacement, until the sum of the numbers on the balls drawn exceeds 4. The sequence of balls drawn is noted. [Note: “exceeds 4” means “strictly larger than 4”.] (a) (2 points) Write down the sample space for this experiment. (b) Let E be the event “one of the balls drawn is 1”, and F the event “the final sum of numbers on the balls drawn is even”. Give the set of outcomes corresponding to each of the following events (i) (1 point) “both E and F occur” (ii) (1 point) “neither E nor F occurs”

Plz dont repost the answer that is posted on here...

Explanation / Answer

a) Sample space = n = {(1,4); (1,2,3); (1,2,4); (2,3); (2,4); (2,3,4) and (3,4). }

b) let's defined E and F

E =  {(1,4); (1,2,3) and (1,2,4)}

F = { (1,2,3) and (2,4)}

i) the common element in E and F is { (1,2,3) }

ii) Neither E occure nor F occure = { (2,3); (2,3,4) and (3,4). }

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.