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?

Question

Three numbers are chosen at random without replacement from \( \{1, 2, \dots, 10\} \). The probability that the minimum of the chosen numbers is 3 or their maximum is 7, is:

Answer 1

The probability of missing the bottle on each shot is calculated as follows:

Shot 1: \( 1 - 0.1 = 0.9 \)
Shot 2: \( 1 - 0.2 = 0.8 \)
Shot 3: \( 1 - 0.35 = 0.65 \)
Shot 4: \( 1 - 0.45 = 0.55 \)

The probability of missing all 4 shots is:

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

Therefore, the probability of hitting the bottle at least once in four shots is:

\[ 1 - 0.2874 = 0.7426 \]

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?

The Correct Option is C

Solution and Explanation

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