If you toss a coin three times, what is the probability that you get.
1. Heads,Tales,Heads
2. No Tails
3. Only one Tail
Can you show the solution on how you did it?
1. Heads,Tales,Heads
2. No Tails
3. Only one Tail
Can you show the solution on how you did it?
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Make a list of all possible events. I'll call heads 'h' and tails 't'. Here are the possible events:
hhh
hht
hth
htt
thh
tht
tth
ttt
Now we just count how many times the event occurs, and how many total events there are.
Question 1. hth appears 1 time out of 8 possible events, so the answer is 1/8
question 2. no tails means hhh. that happens 1/8
question 3. that happens 3 times out of 8. 3/8
hhh
hht
hth
htt
thh
tht
tth
ttt
Now we just count how many times the event occurs, and how many total events there are.
Question 1. hth appears 1 time out of 8 possible events, so the answer is 1/8
question 2. no tails means hhh. that happens 1/8
question 3. that happens 3 times out of 8. 3/8
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E: toss a coin three times.
Ω = {hhh, hht, hth, htt, tth, tht, thh, ttt}
1)
P(hth) = P(h)*P(t)*P(h) = (1/2)*(1/2)*(1/2) = 1/8
2)
P(hhh) = P(h)*P(h)*P(h) = (1/2)*(1/2)*(1/2) = 1/8
3)
P(hht⋃hth⋃thh) = P(hht) + P(hth) + P(thh) = 1/8 + 1/8 + 1/8 = 3/8
Ω = {hhh, hht, hth, htt, tth, tht, thh, ttt}
1)
P(hth) = P(h)*P(t)*P(h) = (1/2)*(1/2)*(1/2) = 1/8
2)
P(hhh) = P(h)*P(h)*P(h) = (1/2)*(1/2)*(1/2) = 1/8
3)
P(hht⋃hth⋃thh) = P(hht) + P(hth) + P(thh) = 1/8 + 1/8 + 1/8 = 3/8
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To get them in order in problem 1
1/2 x 1/2 x 1/2 = 1/8
2. 1/2 x 1/2 x 1/2 = 1/8
3. 1/4
1/2 x 1/2 x 1/2 = 1/8
2. 1/2 x 1/2 x 1/2 = 1/8
3. 1/4
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you could draw a tree diagram, with branches of heads and tails.
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none of em its either gonna be on on side or night