Question

In a box someone has accidently mixed 5V, 10V and 15V relays. The box contains 100 relays: 56 are 5V, 29 are 10V, and 15 are 15V. Three relays will be drawn out one at a time checked and then put back. Match the probabilities. P(all three draws are 5V) P(all three draws are 10V) P(at least one draw is 5V) Plat least one draw is 10V)

Answer 1

Giren box contain 56 sv relays , 29 lov relays and 15 TSV relays. Three relays will be drawn out one at a time. pCall three dramos que sv) = 56. * 100 99 * 98 166920 - 970200 three draws are sv) = 0.1714285711 le call p Call three drauds are 10%) = 20 20 x 28 x 21 . 21924 970200 Tp (all three draws are lov) = 0.0225974026 (at least one draw is su) = 1-P (no drawn is 50). 79464 970 200 one draw is sv)= 0.918098238 TP (at least P(at least one draw is 10% = 1- P(no draw is lov) 342930 IP(at least one draw is 970 200 lov) = 0.646536797