有甲、乙两批种子,发芽率分别为0.8和0.7,各在两批中随机抽取一粒,求:
(1)两粒种子都能发芽的概率;
(2)至多有一粒种子能发芽的概率;
(1)P1=P(AB)=P(A)P(B)=0.8×0.7=0.56. (2)P3=P(AB∪AB∪AB) 由于AB,AB,AB是互相不相容的,由概率加法公式, P3=P(A8)+P(AB)+P(AB) =P(A)P(B)+P(A)P(B)+P(A)P(B) =0.2×0.3+0.8×0.3+0.2×0.7=0.44.
有甲、乙两批种子,发芽率分别为0.8和0.7,各在两批中随机抽取一粒,求:
(1)两粒种子都能发芽的概率;
(2)至多有一粒种子能发芽的概率;
(1)P1=P(AB)=P(A)P(B)=0.8×0.7=0.56. (2)P3=P(AB∪AB∪AB) 由于AB,AB,AB是互相不相容的,由概率加法公式, P3=P(A8)+P(AB)+P(AB) =P(A)P(B)+P(A)P(B)+P(A)P(B) =0.2×0.3+0.8×0.3+0.2×0.7=0.44.