easy maths

2008-08-14 7:09 pm
1)A coin is thrown twice.Find the probability that
a)all are heads
b)at least one is head
c)exactly one is tail
更新1:

Any explaination?

回答 (2)

2008-08-24 1:05 am
✔ 最佳答案
(a)
1st way of thinking:
possible cases: HT, HH, TH, TT
Pr[all heads] = correct case / possible case = 1/4

2nd way of thinking (assume the two outcomes are independent):
Pr[head]=1/2
Pr[both head] = Pr[1st head] x Pr[2nd head] = (1/2)^2 = 1/4

(b)
Pr[at least one head]
= 1-Pr[no head]
= 1-Pr[all tails]
= 1-1/4 = 3/4

(c)
Possible cases: HH, [HT], [TH], TT
Pr[exactly one tail]
=2/4 =1/2
參考: myself
2008-08-14 7:20 pm
a) 1/2 + 1/2 = 1/4

b) 1/2 x 1/2 = 1/4

c) 1/2


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