Question

If you did the same yesterday do not do it, I need it clear

, A box contains five bolts. Three of them, labeled #1, #2 and #3 are 5mm in diameter, and two of them, labeled #4, and #5, are 7mm in diameter. Bolts are randomly selected until a 5mm bolt is obtained. (a) Give an appropriate sample space for the experiment. 9 (b) What would be the probability of choosing #5, then #4, then #1 ? (c) What subset of the sample space corresponds to #1 being the final bolt chosen?

Answer 1

answer:

Here, we have 5 bolts #1, #2, #3, #4, #5 5mm 7mm we have to find the sample space for selection of bolts until 5mm bolt is obtained Thus the sample space would be { #1: #4, #1: #5, #1: #4, #5, #1, #2: #4, #2: #5, #2: #4, #5, #2: #3, #4, #5: #5, #3: #4, #5, #3 #5, #4, #1: #5, #4, #2: #5, #4, #3 } P[choosing #5 #4 then #1] from the above sample space p = favourable outcome/total outcome = 1/15 Out of all the elements in the sample space we will choose those with #1 as final so the subset becomes = { #1: #4, #1: #5, #1: #4, #5 #1: #5, #4, #1 }