If a tile is drawn from the hat 1,232 times, how many times would you expect the tile to have any of the characters from the phrase 6 TANS?

770 times

154 times

1078 times

924 times

1 answer

924 times

Explanation:
There are 6 characters in the phrase "6 TANS", so the probability of drawing any of those characters on a single draw is 6/26 = 0.23.
So, the expected value of drawing any of those characters 1,232 times is 1232 * 0.23 = 283.36. Since you can't have a fraction of a draw, we round down to the nearest whole number, which is 283.
Therefore, you would expect to draw any of the characters from the phrase "6 TANS" about 283 times in 1,232 draws.