QuestionWhat is the probability of drawing a card not in the letters H to J from 26 alphabet cards? Provide a reduced fraction.

Studdy Solution

STEP 1

Assumptions1. There are26 cards in total, each containing a unique letter of the alphabet. . The letters H through J inclusive means the letters H, I, and J.
3. We are looking for the probability that the card chosen is not one of these three letters.

STEP 2

First, we need to find the number of cards that are not among the letters H through J. This can be found by subtracting the number of these letters from the total number of cards.
$Number\, of\, other\, cards = Total\, number\, of\, cards - Number\, of\, H\, through\, J\, cards$

STEP 3

Now, plug in the given values for the total number of cards and the number of H through J cards to calculate the number of other cards.
$Number\, of\, other\, cards =26 -3$

STEP 4

Calculate the number of other cards.
$Number\, of\, other\, cards =26 -3 =23$

STEP 5

Now that we have the number of other cards, we can find the probability that a card chosen at random is not among the letters H through J. This can be found by dividing the number of other cards by the total number of cards.
$Probability = Number\, of\, other\, cards / Total\, number\, of\, cards$

STEP 6

Plug in the values for the number of other cards and the total number of cards to calculate the probability.
$Probability =23 /26$ The probability that a card chosen at random is not among the letters H through J is $23/26$ .

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