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Probability Challenge Problems?
The letters from the word PROBLEM are arranged in all possible ways. If an arrangement is pick at a random, find the probability that two bowels are next to each other.
3 Answers
- M3Lv 71 decade agoFavorite Answer
consider the vowels as a block [OE]
that can be internally flipped in 2! ways.
this block, along with the 5 consonants,
can be arranged in 2!*6! ways
unrestricted # of ways = 7!
Pr = 2!*6! /7! = 2/7 <-------
- NayaMeeLv 51 decade ago
P, R, O, B, L, E, M ---> 7 different letters.
Total number of arrangements = 7! = 5040
I worked the rest here.
Source(s): NayaMee A-Level Statistics - 1 decade ago
120/5040 = 3/126
Source(s): Honors precalc student/perfect scorer on math sections of standardized tests
