Algebra 2 Questions?

1. What is the probability of rolling a sum of 4 when rolling 2 six sided number cubes?

A. 1/4

B. 1/18

C. 1/12

D. 1/9

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?

A. 8/8P8

B. 1/8P8

C. 1/8P1

D. 8/8P1

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?

A. 3/8

B. 1/512

C. 1/56

D. 1/336

4. What is the probability of randomly selecting a card from a standard deck of cards that is a 5 or a king?

A. 2/13

B. 1/169

C. 4/13

D. 2/51

2 Answers

Relevance
  • 3 years ago
    Favorite Answer

    PROBLEM 1:

    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

    Answer:

    C. 1/12

    PROBLEM 2:

    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.

    Answer:

    B. 1/8P8

    PROBLEM 3:

    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

    = 1/56

    Answer:

    C. 1/56

    PROBLEM 4:

    There are 13 different ranks (ace through king)

    Two of these are favorable (5 or a king)

    Divide to get the probability

    2/13

    Answer:

    A. 2/13

    • Login to reply the answers
  • Mike G
    Lv 7
    3 years ago

    4/36 = 1/9

    Answer D

    • Login to reply the answers
Still have questions? Get your answers by asking now.