Identify the sample space and the event in the following statements. (Example: I
ID: 3382314 • Letter: I
Question
Identify the sample space and the event in the following statements. (Example: In ``The chance of rolling an even number with a six sided die is 1/2'', the sample space is the numbers 1-6, and the event is the numbers 2, 4, and 6 [better: event is even numbers 6 or less].)
(a) The chance of flipping 2 heads in a row with a fair coin is 1/4.
(b) The chance of drawing a face card (J, Q, K) from the top of a deck of 52 cards is 3/13.
(c) In a non-leap year, the probability of randomly selecting a day in a month with 31 days is 217/365.
Explanation / Answer
a)
sample space = head, head -------- head, tail ---------- tail, head ---------- tail , tail
event ---- head and head
b)
sample space = the 52 cards of a deck
event = J or Q or K
c)
sample spaces : the number of days
event = month with 31 days