Answer:
0.595
Step-by-step explanation:
We are given that An archer hits centre of the target
We have to calculate the probability that she will hit the centre of the target on two consecutive shots.
P(A)=P(B)=0.70
P(B/A)=0.85
We know tha formula
[tex]P(B/A)=\frac{P(A\cap B)}{P(A)}[/tex]
Substitute the value then we get
[tex]P(A\cap B)=P(B/A)\cdot P(A)=0.85\times 0.70=0.595[/tex]
Hence, the probability that she will hit the centre of the target on two consecutive shots=0.595