An anti air craft gun can fire 4 shots at a time.if the probabilities of the 1st,2nd,3rd and 4th hiting the target are 0.7,0.6,0.5 and 0.4 .what is the probably that four shots aimed at the target will be succes.
To find the probability that all four shots will hit the target, you need to multiply the probabilities of each shot hitting the target.
Given:
P(1st shot hits) = 0.7
P(2nd shot hits) = 0.6
P(3rd shot hits) = 0.5
P(4th shot hits) = 0.4
To find the probability that all four shots hit the target, multiply these probabilities together:
P(all four shots hit) = P(1st shot hits) * P(2nd shot hits) * P(3rd shot hits) * P(4th shot hits)
= 0.7 * 0.6 * 0.5 * 0.4
Calculating this multiplication:
P(all four shots hit) = 0.084
Therefore, the probability that all four shots aimed at the target will be successful is approximately 0.084 or 8.4%.