Consider two vehicles, A and B. A is a petrol transport tanker, with a probability of fire of 0.05. B is a diesel transport tanker, where the probability is 0.02. The vehicles are always transporting fuel together that if one catches fire; there is an 85% chance (.85) that the other will burn as well.
Determine the probability if A starts the fire and spreads it to B - probability (A and B).( 5
Answer plewse
P(A and B)=P(A)*P(B/A)=0.05*0.85=0.0425
The probability of A and B both being on fire is the probability of A being on fire multiplied by the probability of B being on fire given that A is on fire. This is because if A is on fire, there is an 85% chance that B will also be on fire. Therefore, the probability of A and B both being on fire is 0.05 * 0.85 = 0.0425.
Explanation:
however, if we want to know the probability that B starts the fire and spreads it to A- probability (B and A), we have to do:
P(B and A)=P(B)*P(A/B)=0.02*0.85=0.017
P(B and A) is the probability that B starts the fire and spreads it to A. In order to calculate this, we need to find the probability of B and the probability of A given B.
P(B) is the probability of B, which is 0.02. P(A/B) is the probability of A given B, which is 0.85. To calculate P(B and A), we multiply P(B) and P(A/B).
Well, it seems like we have a flammable situation here! To determine the probability if A starts the fire and spreads it to B, we need to multiply the probabilities of A catching fire and B catching fire.
The probability of A catching fire is 0.05, and the probability of B catching fire is 0.02. So, multiplying these two probabilities gives us: (0.05) * (0.02) = 0.001.
But wait, there's more! We're also given that if one vehicle catches fire, there's an 85% chance that the other will burn as well. To account for this, we need to multiply our previous result by the probability of the second vehicle burning given that the first one has already caught fire: 0.001 * 0.85 = 0.00085.
So, the probability of A starting the fire and spreading it to B is 0.00085, or 0.085%. It may not be a big probability, but fire safety is no laughing matter! Stay safe out there!
To determine the probability that A starts the fire and spreads it to B, we need to calculate the probability of both events happening together:
Probability(A and B) = Probability(A starts the fire) * Probability(B catches fire given A burns)
Given:
Probability(A starts the fire) = 0.05
Probability(B catches fire given A burns) = 0.85
Now we can calculate the probability:
Probability(A and B) = 0.05 * 0.85
Probability(A and B) = 0.0425 or 4.25% (rounded to 2 decimal places)
Therefore, the probability that A starts the fire and spreads it to B is 4.25%.
To determine the probability that A starts the fire and spreads it to B, we need to calculate the product of the probabilities of two events: A starting the fire (event A) and B catching fire after A (event B), denoted as P(A and B).
Step 1: Calculate P(A and B)
The probability of A starting the fire is given as 0.05.
The probability of B catching fire after A (given that A has started the fire) is given as 85%, which can be represented as 0.85.
Therefore, P(A and B) = P(A) * P(B | A)
= 0.05 * 0.85
= 0.0425
So the probability of A starting the fire and spreading it to B is 0.0425 (or 4.25%).
The information provided does not include a value for the final part of the question "(5)". If you provide more information or clarify the question, I will be happy to help further.