A box contains all the letters of the word UNDERSTAND. What is the probability of

selecting an 'N' first and a 'D' next, if the first letter is replaced?

1/25

3/50

1/10

2/5

Respuesta :

Answer:

1/25

Step-by-step explanation:

2/10 for n

2/10 for d

2/10 times 2/10 equals 4/100

which simplifies to

The required probability is [tex]\dfrac{1}{25}[/tex]. So, option A is correct.

Important information:

  • A box contains all the letters of the word UNDERSTAND.

Probability:

The number of N's is 2 and the number of D's is 2.

Total number of letters is 10.

Probablity of getting 'N' in first place is [tex]\dfrac{2}{10}=\dfrac{1}{5}[/tex].

The first letter is replaced.

Probablity of getting 'D' in second place is [tex]\dfrac{2}{10}=\dfrac{1}{5}[/tex].

Now, the probability of selecting an 'N' first and a 'D' next is:

[tex]\dfrac{1}{5}\times \dfrac{1}{5}=\dfrac{1}{25}[/tex]

Therefore, the correct option is A.

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