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Six fair coins were flipped. 15. How many possible outcomes there will be, if the order of coins are considered? 16. How many possible outcomes with exactly 3 heads? 17. What is the probability of getting a result with exactly 3 heads? (Round to 4 decimal places, if needed.) What is the probability of getting a result with less than 2 head? (Round to 4 decimal places, if needed.) 18.

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Solution vev data: Number of coin toese Ripped - 6 Nocw, cue haue to fivndout.- 5) toc manq po ssible out comex theve coel bepossible outcomes uuth exactty 3 heads o880n Poba.bility of et coth exacty 3 heodk hep& ute have to fin the probobility oth bnomlal dittsibution p( getting neaut coith exacty head) p = (head /outcomes 아 a coin): (12) here, x-3 3 Ptx-3) -(6-125 ) (0125) (6-3)131 P(o-015625) P Getting ช.esult ugoth exactly 3headA) : O. 31a5 18) Probabillty d qetting a sesult coith lessthan a heodk. p( texk thon a head) - p(oheod) pi heod) lWte know, p(3 head) -P(X-3) So, p(o head) - p(x-o) and p(Ihead) - p(x-I)6-0 5tH /2)ς 4(6)(112) 0.01562 + c6)(0.01562) o o1S60o 09 315 p(kegg,than) =0-10934 2 hen ds obbietin a eul coith less han & heaod 0.1033 rrobabithg of

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