the probability that the ball will have a letter that is lower case or earlier in the alphabet than d (or D) is 0.557
Step-by-step explanation:
Here we have ,A bag contains 52 balls lettered from a to z and A to Z (i.e. uppercase or lowercase letters). One ball is withdrawn. We need to find What is the probability that the ball will have a letter that is lower case or earlier in the alphabet than d (or D)? Let's find out:
There are 26 lowercase letters and 26 uppercase letters ! According to question we need to choose a ball which is either a lowercase ( i.e. from 26 letters ) or earlier in the alphabet than d ( or D ) which is A or B or , C .
Probability = (Favorable outcome)/(Total outcome)
Favorable outcome = 26+3=29
Total Outcome = 52
So ,
⇒ [tex]Probability = \frac{29}{52}[/tex]
⇒ [tex]Probability = 0.557[/tex]
Therefore , the probability that the ball will have a letter that is lower case or earlier in the alphabet than d (or D) is 0.557
