A coin is tossed twice, what is the probability that atleast one tail occurs ?
A coin is tossed twice, what is the probability that atleast one tail occurs ?
When a coin is tossed twice, the sample space is given by
$S =\{ HH , HT , TH , TT \}$
Let $A$ be the event of the occurrence of the least one tail.
Accordingly, $A=\{H T, T H, T T\}$
$\therefore P ( A )=\frac{\text { Number of outcomes favourable to } A }{\text { Total number of possibe outcomes }}$
$=\frac{n(A)}{n(S)}$
$=\frac{3}{4}$
Similar Questions
A coin is tossed and a dice is rolled. The probability that the coin shows the head and the dice shows $6$ is
A coin is tossed and a dice is rolled. The probability that the coin shows the head and the dice shows $6$ is
A dice is thrown twice. The probability of getting $4, 5$ or $6$ in the first throw and $1, 2, 3$ or $4$ in the second throw is
A dice is thrown twice. The probability of getting $4, 5$ or $6$ in the first throw and $1, 2, 3$ or $4$ in the second throw is
From a pack of $52$ cards two cards are drawn in succession one by one without replacement. The probability that both are aces is
From a pack of $52$ cards two cards are drawn in succession one by one without replacement. The probability that both are aces is
An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events:
$A:$ the sum is greater than $8$,
$B : 2$ occurs on either die
$C:$ the sum is at least $ 7$ and a multiple of $3.$
Which pairs of these events are mutually exclusive ?
An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events:
$A:$ the sum is greater than $8$,
$B : 2$ occurs on either die
$C:$ the sum is at least $ 7$ and a multiple of $3.$
Which pairs of these events are mutually exclusive ?
What is the probability that when one die is thrown, the number appearing on top is even
What is the probability that when one die is thrown, the number appearing on top is even