Math:Probability

A locker combination consists of two nonzero digits, and each combination consists of different digits. Event A is defined as choosing an odd number as the first digit, and event B is defined as choosing an odd 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. 5/18
B. 4/9
C. 1/2
D. 5/9

  1. 👍
  2. 👎
  3. 👁
  1. So the digits can each be from 1 to 9, without repetition, of which 5 are odd
    Your event is that both are odd
    P(odd and odd) = (5/9)(4/8) = ....

    1. 👍
    2. 👎
    👤
    Reiny
  2. so.... ti would be 5/18?

    1. 👍
    2. 👎
  3. P(B|A)

    (5/9) x (4/8) = 20/72

    Reducing... we have... 5/18

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. college

    if a license plate consists of 2 letters followed by 4 digits, how many different plates could be created having at least one letter or digit repeated? I know its not 6,760,000

  2. MATH

    A certain type of combination lock has 3 dials: the first 2 dials each have settings for all the digits 0 through 9 and the third has settings for all the 26 capital letters of the alphabet. A combination consists of one setting

  3. maths

    a number consists of two digits whose sum is 9. if 45 is subtracted from the number its digits are interchanged. find the number.

  4. Math

    Vinay made a Password that consists of 3 digits. None of the digits are the same. How many possible passwords did Vinay choose from? Please explain how to solve.

  1. Math: Conditional Probability

    A two-digit locker combination is made up of nonzero digits and no digit is repeated in any combination. Event A = the first digit is 1 Event B = the second digit is even If a combination is picked at random with each possible

  2. Math

    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

  3. math: probability

    A locker combination has three nonzero digits, and digits cannot be repeated. If the first two digits are even, what is the probability that the third digit is even?

  4. stats

    The access code to a house security system consists if 6 digits. How many different codes are available if each digit can be repeated?

  1. math

    an outfit consists of skirt and a blouse. if there are 6 skirts and 8 blouses from which to choose, then how many different outfits are possible? we assume that any possible combination can be worn together.

  2. Math

    A motorcycle licence plate consists of two or three letters followed by four digits. How many licence plates can be made?

  3. math

    1. Arabella's password consists of one letter followed by 2 digits. What is the probability of correctly guessing arabella's password? 2. If the probability of an event happening is p, what is an algebraic expression that

  4. math

    A number consists of two digits whose sum is 9. if three times the number is equal to eight times the number formed by interchanging the digits. find the number

You can view more similar questions or ask a new question.