QuestionKK. 1 Theoretical probability
2MS
You pick a card at random.
6
7
8
What is P (greater than 8 or prime)?
Simplify your answer and write it as a fraction or whole number.
Submit
Studdy Solution
STEP 1
What is this asking? What's the chance of picking a card that shows a number greater than 8 or is a prime number? Watch out! Don't forget: 7 is a prime number, and there are no numbers greater than 8 in this set!
STEP 2
1. Identify the numbers
2. Determine prime numbers
3. Calculate the probability
STEP 3
Let's **identify the numbers** on the cards.
We've got three cards, and they show the numbers: **6**, **7**, and **8**.
Easy peasy!
STEP 4
Now, let's **determine which numbers are prime**.
A prime number is a number greater than 1 that has no divisors other than 1 and itself.
- **6** is not prime because it can be divided by 2 and 3.
- **7** is prime because it can only be divided by 1 and 7.
- **8** is not prime because it can be divided by 2 and 4.
So, the only prime number here is **7**.
STEP 5
Now, let's **calculate the probability** of picking a card with a number greater than 8 or a prime number.
- First, check for numbers greater than 8: There are none!
- Next, check for prime numbers: We found **7**.
So, the only card that fits our criteria is the one with the number **7**.
STEP 6
The probability of picking a card that meets our criteria is the number of successful outcomes over the total number of outcomes.
STEP 7
The probability of picking a card with a number greater than 8 or a prime number is .
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