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heymon3y:
To add probabilities, you use the Addition Rule: P(A or B) = P(A) + P(B) for events that can't happen together (mutually exclusive), or P(A or B) = P(A) + P(B) - P(A and B) for events that can overlap, subtracting the overlap to avoid double-counting, which is essential for "or" scenarios like rolling a die and getting an even number or a multiple of 3.
randogirl123:
@tax wrote:
@randogirl123 wrote:
@tax wrote:
@randogirl123
Im struggling how Adding probability works
Like the concept of it or a specific problem?
concept and problems
tax:
@heymon3y wrote:
To add probabilities, you use the Addition Rule: P(A or B) = P(A) + P(B) for events that can't happen together (mutually exclusive), or P(A or B) = P(A) + P(B) - P(A and B) for events that can overlap, subtracting the overlap to avoid double-counting, which is essential for "or" scenarios like rolling a die and getting an even number or a multiple of 3.
Google?
heymon3y:
Yep
heymon3y:
Google helps for a lot ngl
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randogirl123:
Google don't help
heymon3y:
oh dear?
randogirl123:
I've done research and it gets confusing and confusing
heymon3y:
well watch a video? that kinda helps me
tax:
Well this is the formula $$P(A \text{ or } B) = P(A) + P(B)$$
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tax:
I can do one of them for you
heymon3y:
what a great teacher
randogirl123:
@tax wrote:
Well this is the formula \[P(A \text{ or } B) = P(A) + P(B)\]
hm ok
randogirl123:
@tax wrote:
I can do one of them for you
sure
tax:
@randogirl123 wrote:
@tax wrote:
I can do one of them for you
sure
I'ma do #11
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randogirl123:
@tax wrote:
@randogirl123 wrote:
@tax wrote:
I can do one of them for you
sure
I'ma do #11
ok
tax:
Probability of working part-time: P(PT) = 0.5
Probability of belonging to a club: P(C) = 0.4
Probability of both (the overlap): P(PT and C) = 0.05
Now we're gonna use this formula: $$P(PT \text{ or } C) = P(PT) + P(C) - P(PT \text{ and } C)$$
Then we'll plug in the numbers to the equation:
$$P(PT \text{ or } C) = 0.5 + 0.4 - 0.05$$$$P(PT \text{ or } C) = 0.9 - 0.05$$$$P(PT \text{ or } C) = 0.85$$
Then, 0.85 (or 85%) will be your final answer
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tax:
@randogirl123 wrote:
it kinda makes sense
Nice, glad it does a little lol
randogirl123:
@tax wrote:
@randogirl123 wrote:
it kinda makes sense
Nice, glad it does a little lol
do you know how I would solve 1-4
tax:
Lemme take a look rq
randogirl123:
ok
randogirl123:
u still typing ;-;
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tax:
So we know that there's 6 sides on a die, so there will be a total of 6 possible outcomes
For #1 since we know that there's only one "4" on a standard dice we can tell that the Successful Outcome would be {4} and the result would be 1/6.
For #2 the numbers are either even or odd because every number falls into one of the two categories:
Even: 3/6
Odd: 3/6
Calculation: 3/6 + 3/6 = 6/6 = 1
So for this one the result would be 1 or a 100% chance
For #3 since "3" is larger than one, we can avoid double-counting by listing the unique values:
Rolling a 3: {3}
Numbers larger than one: {2,3,4,5,6}
Unique set: {2,3,4,5,6}
Result: 5/6
For #4 we're going to do the same thing like the others, which is putting everything in a separate category:
Multiples of 3: {3,6}
Odd numbers: {1,3,5}
The overlap: 3, because it's in both lists
Calculation using the addition rule: P(mult of 3) + P(odd) - P(both)
2/6 + 3/6 - 1/6 = 4/6 (simplified to 2/3)
Final answers:
1. 1/6
2. 1
3. 5/6
4. 2/3