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Four coins are tossed simultaneously. Find the probability that at most one head appears.
Two dice are thrown simultaneously. The probability of obtaining a total score of \( 5 \) is _________.
Sample space
are possible events.
If two dice are thrown simultaneously, then the probability that the sum of the numbers which come upon the dice to be more than \( 5 \) is ________.
A fair dice is thrown twenty times. The probability that on the tenth throw the fourth six appears is _________.
For, nine throw sixes and in the throw we require six.
So,
A card is drawn from a well shuffled pack of playing cards. The probability that it is a heart of a king is _________.
Three numbers are chosen at random from \( 1 \text{ to }20 \). The possibility that they are consecutive is _________.
In a college, \( 25\% \) boys and \(10 \% \) girls offer Mathematics. There are \( 60\% \) girls in the College
If a mathematics student is chosen at random, then the probability that the student is a girl is _________.
Total students Girls , Boys
As boys offer Mathematics boys.
As girls offer Mathematics girls.
Total Mathematics students
Two dice are thrown together. Then, the probability that the sum of numbers appearing on them is an odd number is _________.
Two dice are thrown together. Then the probability that the sum of numbers appearing on them is a prime number is _________.
Two dice are thrown together. Then the probability that the sum of numbers appearing on them is an even number is _________.
Two dice are thrown together. Then the probability that the sum of numbers appearing on them is a composite number is __________.
Twelve tickets are numbered from \( 1\text{ to } 12 \). One ticket is drawn at random, then the probability of the number to be divisible by \( 2\text{ or } 3 \) is _________.
For a party, \( 8 \) guests are invited by a husband and his wife. They sit for a dinner around a round table. The probability that the husband and his wife sit together _________.
Total number of ways
Favorable ways
Two dice are thrown together. If the number appearing on the two dice are different, then what is the probability that the sum is \( 6 \).
Possible outcomes but numbers are different are
Sample Space
and
Two dice are rolled once. The probability of getting even number at first or a total of \( 8 \) is _________.
Let \( E \text{ and } F \) be two independent events. The probability that exactly one of them occurs is \( \dfrac{11}{25} \) and the probability of none of them occuring is \( \dfrac{2}{25} \). If \(P(T) \) denotes the probability of occurrence of the event \( T \), then _________.
An unbiased die is tossed until a number greater than \( 4 \) appears. The probability that an even number of tosses is needed is _________.
Probability of product of a perfect square when \( 2 \) dice are thrown together is _________.
The probability that the same number appear on throwing \( 2 \) dice simultaneously is _________.
The probability that number selected at random from the numbers \( 1,2 ,3,…, 100 \) is a prime number is ________.
If a number is chosen at random from the set \( \left\{ 11,12,13,…,30 \right\} \). Then the probability that \( n \) is neither divisible by \( 3 \) nor divisible by \( 5 \), is______
If \( A\text{ and }B \) are events such that \( P (A) \neq 0 \), then \( P \left( \dfrac{B}{A} \right) \), if \( A \) is subset of \( B (A \subset B) \)_________.
If \( A, B \) are two events such that \( P(A) \neq 0 \) and \( A \cap B \) then \( P\left( \dfrac{B}{A} \right) \)__________.
If \( x \) and \( y \) are two events that \( P\left( \dfrac{x}{y} \right)=\dfrac{1}{2}, P \left( \dfrac{y}{x} \right)=\dfrac{1}{3} \text {and }P (x \cap y)=\dfrac{1}{6} \) then_________.
\(A \) and \( B \) throw a dice alternatively till one of them gets a six and wins the game. If \( A \) starst the gam first, then the probability of \( A \) winning the game is_________.