Question

the letters that spell mississippi are each written on separate tiles lying facedown on a table. a tile is selected at random, the letter is recorded, and then the tile is placed facedown on the table. then the process repeats. what is the theoretical probability of choosing a tile with the letter p? responses 14 1 fourth 411 4 over 11 111 1 over 11 211

Answer 1

The theoretical probability of choosing a tile with the letter P from the tiles spelling Mississippi is 2 over 11, since there are 2 'P' tiles out of a total of 11 tiles.

Step-by-step explanation:

The theoretical probability of choosing a tile with the letter P from the tiles spelling Mississippi is calculated by considering the number of P tiles in the set compared to the total number of tiles. Mississippi has 1 'M', 4 'I's, 4 'S's, and 2 'P's, for a total of 11 tiles. Since the question asks for the probability of choosing a P, we focus on the number of P tiles.

To find the theoretical probability, we divide the number of P tiles by the total number of tiles:
Probability of 'P' = Number of 'P' tiles / Total number of tiles
Probability of 'P' = 2/11

Therefore, the theoretical probability of choosing a tile with the letter P is 2 over 11 or approximately 0.1818, which can also be expressed as an 18.18% chance.