Question

What is the probability of getting a license plate with 123 abc or abc 123?

Answer 1

Answer:

Answer:1)Number of different license plates can be made =17576×100×260=456976000

2)Probability of getting a plate with abc123 or 123 abc=0.0000004

Given that :-A license plate has six characters.

As three characters are letters ∴ ways of these 3 letters into the plate with repetition = 26×26×26=17576 ways

and  two characters are numbers (0-9 - total 10 characters)∴ways of these 2 numbers into the plate with repetition=10×10 =100 ways

and one character is a letter or a number=26×10=260

So number of different license plates can be made =17576×100×260=456976000

Now Probability of getting a plate with abc123 or 123 abc

=P(abc123 or 123abc)=P(abc123)+P(123abc)-P(abc123)×P(123abc)=1/456976000+1/456976000-1/456976000×1/456976000

=1/456976000(1+1-1/456976000)

=1/456976000(2-0.0000002)=2/456976000=0.0000004

Probability of getting a plate with abc123 or 123 abc=0.0000004

Answer 2

So the number of different license plates can be made =17576×100×260=456976000

Now Probability of getting a plate with abc123 or 123 ABC

=P(abc123 or 123abc)=P(abc123)+P(123abc)-P(abc123)×P(123abc)=1/456976000+1/456976000-1/456976000×1/456976000

=1/456976000(1+1-1/456976000)

=1/456976000(2-0.0000002)=2/456976000=0.0000004

Probability of getting a plate with abc123 or 123 abc=0.0000004.

What is the rarest license plate number?

While it depends on one's criteria for rarity, many number plate aficionados consider the UK 25 O plate the rarest plate in the world.

How many different car number plates can be made if each is to display 3 letters followed by 3 numbers?

There are 10 combinations for each place. Now, the combination for letters and numbers = 17576 × 100 = 1757600. Therefore, 1757600 license plates can be made.

Learn more about probability at

https://brainly.com/question/24756209

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