1. A locker combination consists of two non-zero digits, and each combination consists of different digits. Event A is defined as choosing an even number as the first digit, and event B is defined as choosing an even number as the second digit.
If a combination is picked at random, with each possible locker combination being equally likely, what is P(A and B) expressed in simplest form? A 1/6 B 5/18 C 1/2
D 5/9
2.A bag contains 6 black tiles, 5 white tiles, and 4 blue tiles. Event A is defined as drawing a white tile from the bag on the first draw, and event B is defined as drawing a black tile on the second draw.
If two tiles are drawn from the bag, one after the other without replacement, what is P(A and B) expressed in simplest form?
A. 4/45
B. 1/7
C. 4/15
D. 5/14
3. A jar contains 5 blue marbles, 2 black marbles, and 7 brown marbles.
Event A = drawing a brown marble on the first draw
Event B = drawing a blue marble on the second draw
If two marbles are drawn from the jar, one after the other and not replaced, what is P(B|A) expressed in simplest form?
A. 2/7
B. 5/14
C. 5/13
D. 6/13
4. A two-digit locker combination has two non-zero digits and no digit is repeated in any combination
Event A = the first digit is less than 3
Event B = the second digit is less than 3
If a combination is picked at random with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?
A. 1/9
B. 1/8
C. 2/9
D. 1/4
5. House numbers along a street consist of two-digit numbers. Each house number is made up of non-zero digits, and no digit in a house number is repeated.
Event A is defined as choosing 8 as the first digit, and event B is defined as choosing a number less than 6 as the second digit.
If a house number along this street is picked at random, with each number being equally likely and no repeated digits in a number, what is P(A and B) expressed in simplest form?
A. 1/9
B. 5/72
C. 5/8
D. 2/3
6.A two-digit locker combination has two non-zero digits and no two digits are the same. Event A is defined as choosing an even digit for the first number, and event B is defined as choosing an odd digit for the second number.
If a combination is picked at random, with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?
A. 4/9
B. 1/2
C. 5/9
D. 5/8
7. A two-digit locker combination is made up of two non-zero digits. Digits in a combination are not repeated and range from 3 through 8.
Event A = choosing an odd number for the first digit
Event B = choosing an odd number for the second digit
If a combination is chosen at random, with each possible locker combination being equally likely, what is P(A and B) expressed in simplest form?
A. 1/5
B. 3/14
C. 5/18
D. 2/5