Question

Find the indicated probability. Round your answer to 6 decimal places when necessary. Find the probability of tossing 1 tails or 1 head on the first 8 tosses of a "fair" coin. A. 0.010373 OB. 0.005567 OC. 0.008673 OD. 0.0625

Answer 1

that the ret A denote the event probability of tossing first 8 tosses of 1 tails on the "fair" coin. probability or 1 ret denote the event that the of tossing head on the first tosses a "fairs coin. The probability of tossing I tails head the first 8 tosses fair" coin the probability the event A+B CAUR P (A+B) = P(A) + P (23) – P(ANB) A+B s same the event AUB Here O and mutually exclusive since A happens then there will exactly 1 tail and 7 2 can not Оссот becaux if there will be B Non arre neads, and hence happens then 1 head and 7 tails exactly . A and B are P(ANB) 2 mutually exclusive we know by Binomiau that the success probability of in sequence independent trial ni nei rod, -

Let P lee success probability of probability P tain m P = ₂ the obtaining single toss. [ The probability of obtaining tail in a single toss 을 if there tosses ve I tail in 8 tosses. 8-1 8c et (art) оссиот ore one success in PCA)= لا by using @ and 8.5.6.7 iad and po 8. 7 tails оссия in the Occi Success tosses ile in the will first first 8 8 tosses. P(B) = by using and mene is 7 8c7 7. (1-22 8-2 8. 7. 27. 28 N from P(A+B) get = P CAD +P (979) PANA)=0 by using @ 8. 18 +8. 옯 ( 28+ ) 8. 16 2 29 -0.0625 tossing tails on first & probability on the "fair" win is 0.0625 tosses of a ile option is correct.