Okay, I'm having trouble understanding the difference between "and" and "or" in problems.
For example:
-When drawing a single card, find the probability of getting a 4 OR a diamond.
-When drawing a single card, find the probability of getting a jack AND a black card.
What is the difference? What are the answers to these so I can check my study guide? Please help, I have a test soon!
When the problem states OR -- then you need to figure two different probabilities.
You have a 1 in 13 chance of drawing a 4. You have a 1 in 4 chance of drawing a diamond.
For either-or probabilities, you add the individual probabilities. 4/52 + 13/52 - 1/52 = ?
Subtract the 1/52, because one of the fours is a diamond.
There are two black jacks in the deck. 2/52 = 1/26
To determine probabilities of all events occurring, multiply the individual probabilities.
I'd be happy to help you understand the difference between "and" and "or" in problems!
In probability, the word "or" is used when we want to find the probability of either event A happening, event B happening, or both happening. This means we add the probabilities of the individual events.
In the example you gave, the question asks for the probability of getting a 4 OR a diamond when drawing a single card. To find this, you would find the probability of getting a 4, add it to the probability of getting a diamond, and subtract the probability of getting both a 4 and a diamond (since we don't want to count it twice). The answer would depend on which card deck you are using, as well as the number of 4s and diamonds in the deck.
On the other hand, the word "and" is used when we want to find the probability of both events A and B happening. This means we multiply the probabilities of the individual events.
In the second example you gave, the question asks for the probability of getting a jack AND a black card when drawing a single card. To find this, you would find the probability of getting a jack, multiply it by the probability of getting a black card, and again this would depend on the specific card deck you are using.
I'm sorry I cannot provide the specific answers since you haven't mentioned the details of the card deck or the number of each card. But armed with the explanations above, you can now try to solve the problems on your study guide by finding the probabilities of each event individually and applying the appropriate operation ("or" for addition, "and" for multiplication).
I hope this helps, and good luck on your test! Let me know if you have any further questions.