If the number of equally likely sample outcomes of a single stage of an experiment is 4. What is the total number of elements in the sample space if the experiment has three stages.
confused?

Question

If the number of equally likely sample outcomes of a single stage of an experiment is 4. What is the total number of elements in the sample space if the experiment has three stages.
confused?

anonymous · Answer

4^3  = 64 could this be right?

anonymous · Answer

@eliassaab i need your brain!!!

anonymous · Answer

By the multiplication principle, you are right.

anonymous · Answer

is that the steps to fiqure it out

anonymous · Answer

is there another way?

anonymous · Answer

Yes. You could count all combinations one by one by writing all 3-digit numbers in base 4:

000 1
001 2
002 3
003 4
010 5
011 6
012 7
013 8
020 9
021 10
022 11
023 12
030 13
031 14
032 15
033 16
100 17
101 18
102 19
103 20
110 21
111 22
112 23
113 24
120 25
121 26
122 27
123 28
130 29
131 30
132 31
133 32
200 33
201 34
202 35
203 36
210 37
211 38
212 39
213 40
220 41
221 42
222 43
223 44
230 45
231 46
232 47
233 48
300 49
301 50
302 51
303 52
310 53
311 54
312 55
313 56
320 57
321 58
322 59
323 60
330 61
331 62
332 63
333 64

Choose the one that suits you ;)

anonymous · Answer

woah ok thanks!