Question

Part A: Fill in the blank: The probability of hitting the black circle inside the target is closer to __.

a) 0
b) 1
c) 0.5
d) 0.75

Part B: Fill in the blank: The probability of hitting the white portion of the target is closer to __.
a) 0
b) 1
c) 0.5
d) 0.25

Answer 1

The probability of the archer hitting the black circle is closer to 1, while the probability of hitting the white portion is closer to 0.25, as the probability of hitting and not hitting the black circle are 0.70 and 0.30, respectively.

Step-by-step explanation:

Part A: The archer's probability of hitting the black circle, or the center of the target, is 0.70 or 70%. So, the probability of hitting the black circle inside the target is closer to b) 1.

Part B: To hit the white portion of the target, the archer must not hit the black circle. If the probability of hitting the black circle is 0.70, then the probability of not hitting it is 1 - 0.70 = 0.30 or 30%. Thus, the probability of hitting the white portion of the target is closer to d) 0.25.

The archer is less likely to hit the white portion because it has a lower probability. In the context of these questions, it's important to understand the concept of independent events and dependent events. The probability of consecutive shots relies on whether the events are independent (where one event doesn't affect the outcome of the other) or dependent (where one event affects the likelihood of the other event occurring).