Question

Friday 12.10 Panera Project #1 Flip The Script Welcome to the lovely world Stat 1401. Your knowledge and perseverance will be tested by this very easy project. I hope you have fun and find it worth your intellect. Let us begin. You have 4 US mint coins, which are quarters, and you want to flip them at the same time. Create a sample space where all possible outcomes will be present. Event A will consist of outcomes where at least 2 heads are present. Event B will consist of outcomes where no tails present. Event will consist where heads is only on the first coin of the flip. Answer the questions below. Please write your answer out in full, using the correct wording and vocabulary. Numerical answers will not be enough. 1. P(A) 2. P(B) 3. P(C) 4. Event (A and C) 5. Event (A and B) 6. Event (B and C) 7. Event (A or C) 8. Event B 9. Event C 10.P(A') 11.P(B') 12.P(A and C) 13.P(C') 14.Event (B' and C') 15.P(A or C) 16.P(BA) 17.P(CA) 18.P(BC) 19.Are Event A and B independent? Show proof and explain. 20. Are Events B and C mutually exclusive? Show proof and explain.

Answer 1

Slution af a 4 Coin is Suple spare Pors tossing folows НTHH ннТн, тння , ннТТ S= $.HHHH НННТ HT HT HTTH, THHT, THTH, TTHH, HT TT, TTHT TTTH , TTTT THTT octuning of Hea oceuning of Tai whent N 2 Heads ane Prresent 1eat ASever t ntaiis are Prfen E event of erent heads is only on the frist Coin of the fiip are - Sanple spoce Po a erents SA - S HHНН, нинг, НTНИ, ННГН ТНИН HH TT HTHT, HTTH THHT, THTH 3 120 eor Se SHHHH Se HTTT 4 16 42 Probability of events are obtsn 29 Know tat INe POSsible Coses to tvet PCwent) al Possible &os

A There S nly one Faverable ut com to PCB) 16 p(B) erent B becarse Here also only one feverulle PCC) erent C out Comesto Event (A and )And s wed for interseetion Commone nelenments in bo the of two trents tue eren E Event CA and ) efenent in A and C jmPlise po Cammooe (2)7- Event (Aand B) : § HHHH Evend CB and e) no comone elements in B and C Event CA or c)Om S uRd fs the Uni1n Of tuso eents 1R element beongs to atleost one RNen t -ণণ म, मकन Rvent CA on c)-HHH, ompliment of B (event B) EVent B implise event dose not occure eithes erent A 0m Coccure Svent c dose not OCCue CeNent get owhieh tonctain ul the elements nple Space expept the twent C,

Cal PCA') 1-P CA) 10 Not Occuranre Pribabili'ty P eveot A 211 PCB)1-PCB) 1-1 o ceurance Probabi 1ity f erestB Not 2A v PCA and c) 12 PCANC) 3 2auoad to AnC .PCD) 0 Pasloulaility of impossi tole tvestis lways 7ere SNh we Konow 0 bap PCCD 1-Pce) 1-111 = 1S Prmate EHM HH 2 Ce v? NOte: lae o Dly Solve 4 s a4e of e tor 5