Robert has three boxes of letters: The first box contains the six letters in the word "bubble" the second box has the three letters in the word "zoo" and the third contains the four letters in the word "taxi". If he randomly selects one letter from each of the three boxes, what is the probability that the three letters spell the word "box"?

3/6 * 2/3 * 1/4

since no letters occurs in more than one box, things are simple.

To find the probability that the three letters spell the word "box," we need to determine the total number of possible outcomes and the number of favorable outcomes.

The first box contains six letters, the second box contains three letters, and the third box contains four letters. Therefore, the total number of possible outcomes is the product of the number of letters in each box: 6 × 3 × 4 = 72.

To spell the word "box," we need to select the letter 'b' from the first box, the letter 'o' from the second box, and the letter 'x' from the third box.

The first box has only one 'b,' so the probability of selecting 'b' from that box is 1/6.

The second box has only one 'o,' so the probability of selecting 'o' from that box is 1/3.

The third box has only one 'x,' so the probability of selecting 'x' from that box is 1/4.

To find the probability of all three events occurring, we multiply the probabilities of each event: (1/6) × (1/3) × (1/4) = 1/72.

Therefore, the probability that the three letters spell the word "box" is 1/72.