A child types the letters q, w, e, r, t, y, randomly producing 1000 letters in all. what is the expected number of times that th

Question

Gnesinka [82]

3 years ago

15

A child types the letters q, w, e, r, t, y, randomly producing 1000 letters in all. what is the expected number of times that th

e sequence qqqq appears, counting overlaps

Mathematics

1 answer:

notka56 [123] · Answer 1 · 2022-05-14T20:00:10+03:00

notka56 [123]3 years ago

7 0

1/6*1/6*1/6*1/6 = 1/1296 = 0.078% probability of ANY 4-letter sequence (including qqqq)
1000/1296 is less than 1.
Expected number of times qqqq (or any given 4-letter sequence) will appear in 1000 letters is 0.