Math, asked by manjunathshenvi, 11 months ago

two coins are tossed simultaneously find the probability that exactly two head or at least one tale​

Answers

Answered by Anonymous
21

Answer:-

→ Here are the outcomes when 2 coins are tossed simultaneously where H denotes Heads and T denotes Tails.

HH, TT, HT, TH

1. Probability of getting exactly one head is 2/4 = 1/2

2. Probability of getting at most one tail is = 3/4

Additional information:-

When two coins are tossed simultaneously What is the probability of getting one head?

→ If you flip a coin one time, the probability of getting two heads is zero.

If you flip a coin a billion times, the probability of getting two heads is nearly one.

If you flip a fair coin twice, there are four possible outcomes (HH, HT, TH, TT)

Hence, the probability of tossing two heads is 1/4.

Answered by Anonymous
15

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Question:✥

two coins are tossed simultaneously find the probability that exactly two head or at least one tale

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step to step explanation:✥

sample space are {H H} {H, T} {T, H} {T, T}

  • t means tail
  • h means head

so n (A) = n(4) then,

➷let take A will be the exactly two head

so

A ={HH} then n (A)

 \sf{p(A) =  \frac{n(A)}{n(S)} =  \frac{1}{4}}

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now let take B will be getting atleast one tail from given question

then B = { HT TH TT}

n(B) = 3

then

 \sf{ p(B) =  \frac{n(B)}{n(S)} =  \frac{3}{4}}

then A and B are both exclusive

___________________________

now used the probability formula

p(AUB) = p(A) + p(B)

then

p(AUB) =

 \sf{ \frac{1}{4} +  \frac{3}{4}}

 \sf{ = 1}

so.,

the probability that exactly two head or at least one tale is 1

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