n experiment consists of two steps. First a coin is flipped, if the outcome is t

Question

n experiment consists of two steps. First a coin is flipped, if the outcome is tails, a die is tossed. If the outcome is heads, the coin is flipped again .) Which is the sample space for the experiment? S- (T1, T2, T3, T4, TS, T6, HT, HH) S = (T1, T2, T3, T4, TS, T6, H1, H2, H3, H4, H5, H6) S (TT, TH, H1, H2, H3, H4, HS, H6) S- TT,TH, HT, HH, 1, 2, 3,4, 5, 6 Submit Answer Tries 0/2 b.) Which possible outcomes are in the event E: the first flip of the coin is heads? E = {H1} E- (H1, H2, H3, H4, H5, H6) Submit Answer c.) Which is the event F: there is an odd outcome when the die is tossed? Tries 0/2 F = (T1, T3, T5) F (H1, H3, H5) Submit Answer Tries o/2

Explanation / Answer

1.

In the first toss outcomes are (H.T)

if tail came outcomes in 2nd toss will be (1,2,3,4,5,6)

and if head came, the possible outcomes will be {H,T}

So, the total possible outcomes are,

S={T1, T2,T3,T4,T5,T6 ,HT,HH}

So, the correct choice is 1).S={T1, T2,T3,T4,T5,T6 ,HT,HH}

2. If we get head in the first toss, we have to toss the coin again, so the possible outcomes are

E= {HT,HH}

3. When we toss a die it means we have got tail in the first toss so the possible outcomes are :

F={T1,T3,T5}

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