Matt asked in Science & MathematicsMathematics · 3 years ago

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

Relevance
• 3 years ago

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

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.

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

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

A. 2/13