In a game a coin is tossed `2n+m` times and a player wins if he does not get any two consecutive outcomes same for at least `2n` times in a row. The p

Question

In a game a coin is tossed `2n+m` times and a player wins if he does not get any two consecutive outcomes same for at least `2n` times in a row. The p

In a game a coin is tossed `2n+m` times and a player wins if he does not get any two consecutive outcomes same for at least `2n` times in a row. The probability that player wins the game is `(m+2)/(2^(2n)+1)` b. `(2n+2)/(2^(2n))` c. `(2n+2)/(2^(2n+1))` d. `(m+2)/(2^(2n))`
A. `(m+2)/(2^(2n)+1)`
B. `(2n+2)/(2^(2n))`
C. `(2n+2)/(2^(2n+1))`
D. `(m+2)/(2^(2n))`

Monjur Alahi

12 views

2025-01-04 04:42

1 Answers

Related Questions

A and B throw a pair of dice alternately. A wins the game, if he gets a total of 6 anfd B wins, if she gets a total of 7. If a starts the game, then f

2 Answers 6 Views

A coin is tossed three times, where (i) A : head on third toss,B: heads on first two tosses (ii) A: at least two heads, B : at most two heads (iii) A

2 Answers 4 Views

An unbiased normal coin is tossed `n` times. Let `E_1:` event that both heads and tails are present `n` tosses. `E_2:` event that the coin shows up he

2 Answers 10 Views

A coin is tossed (m+n) times with m>n. Show that the probability of getting m consecutive heads is `(n+2)/2^(m+1)`

2 Answers 6 Views

A coin is tossed three times in succession. If `E` is the event that there are at least two heads and `F` is the event in which first throw is a head,

2 Answers 5 Views

A fair coin is tossed `n` times. if the probability that head occurs 6 times is equal to the probability that head occurs 8 times, then find the value

2 Answers 5 Views

A fair die is tossed repeatedly. `A` wins if if is 1 or 2 on two consecutive tosses and `B` wins if it is 3,4,5 or 6 on two consecutive tosses. The pr

2 Answers 4 Views

A coin is tossed `2n` times. The chance that the number of times one gets head is not equal to the number of times one gets tails is `((2n !))/((n !)^

2 Answers 8 Views

An unbiased normal coin is tossed n times. Let `E_(1):` event that both heads and tails are present in n tosses. `E_(2):` event that the coin shows up

2 Answers 8 Views

A fair die is tossed repeatedly. A wins if it is `1` or `2` on two consecutive tosses and `B` wins if it is `3,4,5` or `6` on two consecutive tosses.

2 Answers 5 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - D
Player should get `(HT, HT, HT,...)orTH, TH,...)` at least 2n times. If the sequence starts from first place, then the probability is `1//2^(2n)` and if starts from any other place, then the probability is `1//2^(2n+1).` Hence, required probability is
`2((1)/(2^(2n))+(m)/(2^(2n+1)))=(m+32)/(2^(2n))`

12 views Answered 2023-02-05 15:29