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Teena is practising for an upcoming Rifle Shooting tournament. The probability of her shooting the target in the 1st, 2nd, 3rd and 4th shots are 0.4, 0.3, 0.2 and 0.1 respectively - Mathematics

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Question

Teena is practising for an upcoming Rifle Shooting tournament. The probability of her shooting the target in the 1st, 2nd, 3rd and 4th shots are 0.4, 0.3, 0.2 and 0.1 respectively. Find the probability of at least one shot of Teena hitting the target.

Sum
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Solution

Required probability

= 1 – Probability that neither of the target hits

= 1 – [(1 – 0.4)(1 – 0.3)(1 – 0.2)(1 – 0.1)]

= 1 – [0.6 × 0.7 × 0.8 × 0.9]

= 1 – 0.3024

= 0.6976

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