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Two marksmen fire at a target simultaneously. Jiri hits the target 70% of the time and Benita hits the target 80% of the time. How do you determine the probability that they both miss the target?

Answer 1

The probability of two independent happenings is the product of each probability. Jiri fails 0.3 of times, and Benita 0.2. The probability of both failing is

#0.3xx0.2=0.06=6%#

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Answer 2

Hazel Anglin

To determine the probability that both Jiri and Benita miss the target, you multiply the probabilities of each missing the target together, as they are independent events.

Probability of Jiri missing = 1 - Probability of Jiri hitting = 1 - 0.70 = 0.30 Probability of Benita missing = 1 - Probability of Benita hitting = 1 - 0.80 = 0.20

Probability that both miss = Probability of Jiri missing × Probability of Benita missing = 0.30 × 0.20 = 0.06

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.