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Each letter in the word Massachusetts is written on a card. The cards are placed in a basket. What
is the probability of selecting two S's if the first card is replaced before selecting the second
card?
Solution
It's a probability of 16 out of 169.
There are 13 letters in MASSACHUSETTS. 4 of the 13 are the letter S, so there is a 4 in 13
chance to draw an S. Since the first card is replaced, there is still a 4 in 13 chance of drawing
another S. So the combined probability is 4/13 x 4/13 = 16/169

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Each letter in the word Massachusetts is written on a card. The card.pdf

  • 1. Each letter in the word Massachusetts is written on a card. The cards are placed in a basket. What is the probability of selecting two S's if the first card is replaced before selecting the second card? Solution It's a probability of 16 out of 169. There are 13 letters in MASSACHUSETTS. 4 of the 13 are the letter S, so there is a 4 in 13 chance to draw an S. Since the first card is replaced, there is still a 4 in 13 chance of drawing another S. So the combined probability is 4/13 x 4/13 = 16/169