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
2 answers
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).
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).
5 answers