Question

Поиск результатов по фразе "Вероятность попадания из снайперской винтовки 0.96 а из обычной 0.7.Из 3 снайперских винтовок и 2 обычных на угат берут одну и делают выстрел . Найти вероятность попадания "

Answer 1

Гипотезы: Н1 {выбрали снайперскую винтовку}; Н2 {выбрали обычную винтовку};   P(H1)=3/5=0,6; P(H2)=2/5=0,4. Событие А {Мишень поражена} Р (А|H1)=0,95; Р (А|H2)=0,7.   По формуле полной вероятности имеем: Р (А) = Р ( Н1 )•P(A|H1)+ Р (Н2)•P(A|H2)=0,6•0,95+ 0,4•0,7=0,85.

Answer 2

Probability of Hitting a Target

To find the probability of hitting the target, we can use the concept of weighted averages based on the probabilities of hitting the target with different types of rifles.

Given: - Probability of hitting the target with a sniper rifle = 0.96 - Probability of hitting the target with a regular rifle = 0.7 - Number of sniper rifles = 3 - Number of regular rifles = 2

Calculation

To find the overall probability of hitting the target when one rifle is chosen randomly and a shot is fired, we can use the weighted average formula:

Weighted Average Probability = (Probability with Sniper Rifle * Number of Sniper Rifles + Probability with Regular Rifle * Number of Regular Rifles) / Total Number of Rifles

Substituting the given values: Weighted Average Probability = (0.96 * 3 + 0.7 * 2) / (3 + 2)

Result

Calculating the weighted average probability gives us the overall probability of hitting the target when one rifle is chosen randomly and a shot is fired.

Let's calculate the result.