The probability of getting head and tail alte | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) When three coins are tossed,the total number of possible outcomes is $2^3 = 8$.The sample space is $S = \{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT\}

Vedclass · Accepted Answer

$\frac{1}{4}$

Vedclass · Answer

(B) When three coins are tossed,the total number of possible outcomes is $2^3 = 8$.The sample space is $S = \{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT\}$.We are looking for outcomes where heads and tails appear alternately.The favorable outcomes are $HTH$ and $THT$.Thus,the number of favorable outcomes is $2$.The probability is calculated as $\frac{	ext{Number of favorable outcomes}}{	ext{Total number of outcomes}} = \frac{2}{8} = \frac{1}{4}$.

The probability of getting head and tail alternately in three throws of a coin (or a throw of three coins) is:

Similar Questions

$A$ bag contains $7$ black and $5$ white balls. $A$ ball is drawn out and replaced in the bag. Then a ball is drawn again. What is the probability that the first ball was black and the second white?

An urn contains $25$ balls numbered $1$ to $25$. Suppose an odd number is considered a 'success'. $2$ balls are drawn from the urn with replacement. Find the probability of getting no success.

From a pack of $52$ cards,$4$ cards are drawn. What is the probability that it has no queen?

Two coins are tossed. Find the probability that at least one head and one tail are obtained?

If the events $A$ and $B$ are mutually exclusive,then $P\left( \frac{A}{B} \right) = $

Vedclass Test Series

Exam Paper Generator

Online Exam Module