The-probability-of-the-simultaneous-occurrence-of-two-events-A-and-B-is-p-If-the-probability-that-exactly-one-of-A-B-occurs-is-q-then-

Tinku Tara June 14, 2023 None 0 Comments

Question Number 5358 by realmath last updated on 11/May/16

The probability of the simultaneous occurrence of two events A and B is p. If the probability that exactly one of A, B occurs is q, then

$$\mathrm{The}\:\mathrm{probability}\:\mathrm{of}\:\mathrm{the}\:\mathrm{simultaneous} \\ $$$$\mathrm{occurrence}\:\mathrm{of}\:\mathrm{two}\:\mathrm{events}\:{A}\:\mathrm{and}\:{B}\:\mathrm{is}\:{p}. \\ $$$$\mathrm{If}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{exactly}\:\mathrm{one}\:\mathrm{of} \\ $$$${A},\:{B}\:\mathrm{occurs}\:\mathrm{is}\:{q},\:\mathrm{then} \\ $$

Commented by Yozzii last updated on 11/May/16

p=q^2 by And principle of independent events.

$${p}={q}^{\mathrm{2}} \:{by}\:{And}\:{principle}\:{of}\:{independent}\:{events}. \\ $$

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