Question

Each letter in the word MASSACHUSETTS is written on a card. The cards are placed in a basket. Find the probability of selecting two S's if the first card is not replaced before selecting the second card?

18/169

16/169

12/156

1/15

Answer 1

Given:

Each letter in the word MASSACHUSETTS is written on a card. The cards are placed in a basket.

To find:

The probability of selecting two S's if the first card is not replaced before selecting the second card.

Solution:

There are a total of 13 letter in the word MASSACHUSETTS.

There are 4 S's in the word MASSACHUSETTS.

The probability of selecting two S's if the first card is not replaced before selecting the second card is given as follows:

As there are 4 S's in the word MASSACHUSETTS ⇒ 4/13

Now, only 12 cards are left out of 13, as one is already selected and out of 4 S's only 3 S's are remaining ⇒ 3/12

Therefore, the Probability = 4/13 × 3/12 = 1/13

None of the given options are correct.