Question

A Coin is tossed three times.
find the probability of the following
events:
as Ai getting at least one head
bJB: getting at most two head
JC: getting exactly two tails​

Answer 1

Answer:

i hope it helps

Step-by-step explanation:

There are eight possible outcomes from tossing a coin three times: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. Assuming the coin is fair, each of these outcomes is equally probable. Three of them (HHT, HTH, THH) have two heads and one tail. So the probability is 3/8.

A coin is tossed 3 times. What is the probability that the tosses are the same?

A coin is tossed thrice, what is the probability of getting at least one head?

If a coin is tossed thrice, what is the probability of getting one or two heads?

A fair coin is tossed 4 times. What is the probability of getting most two tails appear, three heads, or two tails?

A fair coin is tossed three times. What are the possibilities of the coin landing on two heads and one tail?

One toss can give two (2) possible outcomes - head and tail. So, three tosses can give (2*2*2) = 8 possible outcomes.

2 heads and 1 tail out of 3 tosses can occur in (3C2)*(1C1) = 3 ways.

So, the probability = (3 / 8).

(1/2)^3 x 3 to account for the 3 tosses and the fact that the T can be in any of 3 positions. 3/8 or 37.5%

A coin is tossed 3 times. What is the probability that the tosses are the same?

A coin is tossed thrice, what is the probability of getting at least one head?

If a coin is tossed thrice, what is the probability of getting one or two heads?

A fair coin is tossed 4 times. What is the probability of getting most two tails appear, three heads, or two tails?

A fair coin is tossed three times. What are the possibilities of the coin landing on two heads and one tail?

If a coin is tossed 3 times, what is the probability of getting 2 heads or 2 tails?

A coin is tossed 3 times. What's is the probability of getting 3 tails?

If I flip a coin 3 times, what are the chances that I get 1 tails?

Two unbiased coins are tossed. What is the probability of getting at most one tail?

3 coins are tossed. What is the probability of getting tails, head, and tails?

What is the probability that if a coin is tossed five times we will get three heads and two tails?

If three coins are tossed simultaneously, what is the probability of getting a head and 2 tails?

A

Answer 2

Answer:

(A) The probability of getting at least one head is 7/8.

(B) The probability of getting at most two heads is 7/8.

(C) The probability of getting exactly two tails is 3/8.

Step-by-step explanation:

Given,

A coin is tossed three times.

Sample space ={ HHH, TTT, HTH, THT, HHT, TTH, THH,HTT}.

To find,

A) Getting at least one head.

B) Getting at most two heads.

C) Getting exactly two tails​.

Calculation,

sample space n(S) = 8,

A)  Getting at least one head

Let 'A' be the event of getting at least one head

Then A = =(HHH, HTH,THT,HHT,TTH,THH,HTT)

Hence, N(A) = 7,

Then, P(A) = n(A)/n(S)

⇒ P(A)=7/8.

Therefore, the probability of getting at least one head is 7/8.

B) Getting at most two head

Let 'B' be the event of getting at most two heads

Then B = (TTT, HTH, THT, HHT, TTH, THH, HTT)

Hence, n(B) = 7

Then, P(B) = n(B)/n(S)

⇒ P(B) = 7/8

Therefore, the probability of getting at most two heads is 7/8.

(C) Getting exactly two tails

Let 'C' be the event of getting exactly two tails.

Then C = (THT,TTH,HTT)

Hence, n(C) =3

Then, P(C) = n(C)/n(S)

⇒ P(C)=3/8

Therefore, the probability of getting exactly two tails is 3/8.

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