Algebra 2 Questions?
1. What is the probability of rolling a sum of 4 when rolling 2 six sided number cubes?
2. A museum worker randomly displays 8 historical writings in a row.
What is the probability that the worker lines them up from the oldest to the most recent from left to right?
3. Eight qualified applicants apply for a part-time job. The manager randomly hires 3 of them. What is the probability that the manager hires the 3 youngest?
4. What is the probability of randomly selecting a card from a standard deck of cards that is a 5 or a king?
- PuzzlingLv 73 years agoFavorite Answer
There are only 3 ways to get a sum of 4:
1+3, 2+2 and 3+1
That's out of the 36 possible outcomes (6 x 6 = 36) of the two dice.
Divide to get the probability:
P(sum = 4) = 3/36 = 1/12
There is only 1 way they can all be in the right order of oldest to most recent left to right.
But there are 8P8 (or just 8!) ways to permute the 8 items.
The probability the first chosen is one of the 3 youngest is 3/8
The probability the second chosen is one of the 2 remaining youngest is 2/7
The probability the third chosen is the 1 remaining youngest is 1/6
Multiply those together:
3/8 x 2/7 x 1/6
There are 13 different ranks (ace through king)
Two of these are favorable (5 or a king)
Divide to get the probability
- Mike GLv 73 years ago
4/36 = 1/9