Here are the probabilities of two independent events.

Event A 2.7 × 10–2 Event B 3.4 × 10–4

Work out the probability of only one of the events happening.

Give your answer to 3 significant figures.

Guest Oct 27, 2016

#2**0 **

The probability that A occurs = 0.027

The probability that B occurs = 0.00034

The probability that A doesn't occur = 1.000 - 0.027 = 0.973

The probability that B doesn't occur = 1.00000 - 0.00034 = 0.99966

The probability that only one of these independent occurs

= ( probability that A occurs and B doesn't occur )

+ ( probability that B occurs and A doesn't occur )

The probability that A occurs and B doesn't occur = 0.027 x 0.99966 = 0.02699082

The probability that B occurs and A doesn't occur = 0.00034 x 0.973 = 0.00033082

Adding these two values together = 0.0273 (rounded to 3 significant digits)

geno3141 Oct 27, 2016