Question

A player can take a maximum of 4 chances to hit a bottle with a flying disc.The probability of hitting the bottle at the first, second,third and fourth shots are 0.1, 0.2, 0.35 and 0.45 respectively.What is the probability that the player hits the bottle with the flying disc?

• A. 0.6573
• B. 0.2574
• C. 0.7426
• D. 0.3427

Answer 1

The Correct Option is C

The probability that the player does not hit the bottle on a given shot is:

• First shot: \( 1 - 0.1 = 0.9 \)
• Second shot: \( 1 - 0.2 = 0.8 \)
• Third shot: \( 1 - 0.35 = 0.65 \)
• Fourth shot: \( 1 - 0.45 = 0.55 \)

The probability that the player misses all 4 shots is:

\[ 0.9 \times 0.8 \times 0.65 \times 0.55 = 0.2874 \]

Thus, the probability that the player hits the bottle in at least one of the four shots is:

\[ 1 - 0.2874 = 0.7426 \]