In a school where 4 % of the children write with their left hands, what is the probability that

step 1 So in this question we're told that about 12 % of all individuals right with their left hands. A

In a school where 4 % of the children write with their left...

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Key Concepts

Independent Events

Independent events are events where the outcome of one does not affect the outcome of another. In the problem, assuming each child's hand preference is independent allows us to multiply the individual probabilities of not being left-handed to find the overall probability for the class.

Binomial Distribution

The binomial distribution is used when there are a fixed number of independent Bernoulli trials. It helps determine the probability of achieving exactly a specific number of successes (in this case, zero left-handed children) by using the formula P(X = k) = C(n, k) p^k (1 - p)^(n - k), where n is the number of trials and p is the probability of success.

Basic Probability

Probability is the mathematical measure that quantifies the likelihood of an event occurring. In contexts like this problem, it involves calculating the chance that a specific event (no left-handed children) happens out of all possible outcomes, based on known probabilities.

Bernoulli Trials

A Bernoulli trial is a random experiment with exactly two possible outcomes: success or failure. Each child's hand preference (left-handed or not) can be seen as a Bernoulli trial, as each trial follows a fixed probability (4% for left-handed).

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