Probability (Mizo) -UPSC,SSC,MPSC, Banking (prelims).
Topic: PROBABILITY (Mizo)
`Term Pawimawh Hrilh Fiahna`
(a) Probability: Awmze mumal tak neia thil tih atanga thil lo thleng thei tur chhút chhuah dan.
(b) Experiment: Kalhmang bik neia thiltih, chumiin a hrin chhuahte mumal taka chhinchhiah theih sawina a ni a, thiltih chu thawh khat emaw, thawh tam tak thleng emaw pawh a ni thei.
(c) Random Experiment: Experiment ațanga result chhuak thei awm zawng zawng zawng hriat lawk theih si; mahse, a result chhuak tur dik tak hriat lawk theih si loh experiment sawina a ni.
(d) Trial: Result pakhat emaw, tam tak emaw pawh chhuah theihna experiment hi a ni Random experiment tih dan sawina a tih theih.
(e)Event: Trial neih atanga result chhuak lak khawm sawina a ni.
(f) Elementary Event: Result pakhat chauh chhuak thei hi a ni.
(g) Equally likely Events: Event atanga result chhuak thei tur zawng zawngte chance neih dan inang vek sawina a ni.
(h) Probability of an Event: Theoretical probability of an event (classical probability tih a ni bawk) chu E tiin dah a ni a, probability of an event chu P(E) tia ziakin, P(E) chu event ațanga result kan hriat duh ber chhuak zat, event neih zawng zawng zata sem a ni, hetiang hian:
P(E)= `Number of outcomes favourable to E`/ Number of all possible outcomes of the Experiment
A chung lam numerator chhuak hi a hnuai lam denominator aia tam a ni thei lo, a tam theih berah a hnuai lam zat a ni thei. Chumi awmzia chu P(E) hi 1 emaw, 0 emaw a nih loh chuan proper fraction a ni ziah tiħna a ni.
Practice Questions(UPSC,SSC, State PSC)
1. Zirlai 15 mipa leh 10 hmeichhia an awm a. Zirlai 3 thlan chhuah an nih chuan, 1 hmeichhia leh 2 mipa thlan chhuah an nih chance (probability) engzat nge?
Chhanna: 6/35
2. Mi 16-in an inkhawih (handshake) vek a. Inkhawih zat engzat nge?
3. Srinaya-in phone number 11 digit a theihnghilh a, digit 2 hnuhnung a hriat loh. A dik loh chance engzat nge?
Chhanna: 1/100