A-large-lot-of-tires-contain-5-defectives-4-tires-are-to-be-chosen-for-a-car-Find-the-probability-that-you-find-a-2-defective-tires-before-4-good-ones-b-at-most-2-defective-tires-before-4-goo

Question Number 175011 by MathsFan last updated on 16/Aug/22

$$\mathrm{A}\:\mathrm{large}\:\mathrm{lot}\:\mathrm{of}\:\mathrm{tires}\:\mathrm{contain}\:\mathrm{5\%}\:\mathrm{defectives}. \\ $$$$\mathrm{4}\:\mathrm{tires}\:\mathrm{are}\:\mathrm{to}\:\mathrm{be}\:\mathrm{chosen}\:\mathrm{for}\:\mathrm{a}\:\mathrm{car}.\:\mathrm{Find} \\ $$$$\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{you}\:\mathrm{find} \\ $$$$\:\left(\mathrm{a}\right)\:\mathrm{2}\:\mathrm{defective}\:\mathrm{tires}\:\mathrm{before}\:\mathrm{4}\:\mathrm{good}\:\mathrm{ones} \\ $$$$\:\left(\mathrm{b}\right)\:\mathrm{at}\:\mathrm{most}\:\mathrm{2}\:\mathrm{defective}\:\mathrm{tires}\:\mathrm{before}\:\mathrm{4}\:\mathrm{good}\:\mathrm{ones}. \\ $$

Commented by mr W last updated on 16/Aug/22

$${you}\:{choose}\:\mathrm{4}\:{tires}.\:{what}\:{do}\:{you}\:{mean} \\ $$$${with}\:“\mathrm{2}\:{defective}\:{tires}\:{before}\:\mathrm{4}\:{good} \\ $$$${ones}''?\: \\ $$

Commented by MathsFan last updated on 16/Aug/22

$${ok} \\ $$

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