Assume that washington, dc license plates contain six numbers, each of which is between 0 and 7, inclusive. what is the probability that a license plate picked at random from the pool of all washington, dc plates contains the same number repeated consecutively –
e.g., 055693, or 387466?

A - picking a plate containing a number repeated consecutively A' - picking a plate with no numbers repeated consecutively
[tex]|\Omega|=8^6=262144\\\\ P(A)=1-P(A')\\ |A'|=8\cdot7^5=134456\\ P(A')=\dfrac{134456}{262144}=\dfrac{16807}{32768}\\ P(A)=1-\dfrac{16807}{32768}=\dfrac{15961}{32768}\approx48\% [/tex]

Answer Link

Assume that washington, dc license plates contain six numbers, each of which is between 0 and 7, inclusive. what is the probability that a license plate picked at random from the pool of all washington, dc plates contains the same number repeated consecutively – e.g., 055693, or 387466?

Respuesta :

Otras preguntas

Assume that washington, dc license plates contain six numbers, each of which is between 0 and 7, inclusive. what is the probability that a license plate picked at random from the pool of all washington, dc plates contains the same number repeated consecutively –
e.g., 055693, or 387466?