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A locker combination consists of two non-zero digits. the digits in a combination are not repeated and range from 2 through 9. event a = the first digit is an odd number event b = the second digit is an odd 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. b. c. d.

Sagot :

The P(B|A) expressed in the simplest form will be (B) 2/7.

What is probability?

  • Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.
  • The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

To find the P(B|A) expressed in the simplest form:

Given -

  • Event A = the first digit is less than 5
  • Event B = the second digit is less than 5

Total possible numbers = 2,3,4,5,6,7,8,9

Let the value of the number be AB.

  • The total possible values below 5 are 2,3, and 4.
  • The probability of the first digit is less than 5, P(A) = 3/8.
  • The second digit is less than 5, P(B/A) = 2/7.

Therefore, the P(B|A) expressed in the simplest form will be (B) 2/7.

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The complete question is given below:
A locker combination consists of two non-zero digits. The digits in a combination are not repeated and range from 2 through 9.

Event a = a first digit is an odd number

Event b = the second digit is an odd number

If a combination is picked at random with each possible locker combination being equally likely, what is P(B/A) expressed in the simplest form?

A.1/4

B.2/7

C.4/9

D.1/2