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06. Find the probability of getting a card with an odd number, from a pack of five identical
cards written 1 to 5 on them.

Sagot :

To find the probability of getting a card with an odd number from a pack of five identical cards numbered 1 to 5, we need to follow these steps:

1. Determine the total number of cards:
The pack contains 5 cards, which are numbered 1, 2, 3, 4, and 5. Therefore, the total number of cards is 5.

2. Identify the cards with odd numbers:
From the numbers 1 to 5, the odd numbers are 1, 3, and 5. So, there are 3 cards with odd numbers.

3. Calculate the probability:
The probability [tex]\( P \)[/tex] of drawing an odd card is given by the ratio of the number of odd cards to the total number of cards.

[tex]\[ P = \frac{\text{Number of odd cards}}{\text{Total number of cards}} \][/tex]

Here, the number of odd cards is 3, and the total number of cards is 5. Therefore,

[tex]\[ P = \frac{3}{5} \][/tex]

This fraction can be further converted to a decimal if needed. Thus, the decimal representation of [tex]\(\frac{3}{5}\)[/tex] is 0.6.

4. Result:
Hence, the probability of getting a card with an odd number from this pack is 0.6, or 60%.

By summarizing, out of 5 cards (with numbers 1 to 5), there are 3 odd-numbered cards. So, the probability of drawing one of these odd cards is [tex]\( \frac{3}{5} \)[/tex] which is 0.6 in decimal form.
So either 1, 3 or 5 so 3 numbers out of 5 are odd that means probability is 3/5