$A$ piggy bank contains $100$ $50\, p$ coins,$50$ $Rs.\, 1$ coins,$20$ $Rs.\, 2$ coins,and $10$ $Rs.\, 5$ coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down,what is the probability that the coin:
$(i)$ will be a $50\, p$ coin?
$(ii)$ will not be a $Rs.\, 5$ coin?
$(i)$ will be a $50\, p$ coin?
$(ii)$ will not be a $Rs.\, 5$ coin?
- A$\frac{5}{9}, \frac{17}{18}$
- B$\frac{17}{18}, \frac{5}{9}$
- C$\frac{9}{5}, \frac{17}{18}$
- D$\frac{9}{5}, \frac{18}{17}$
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Similar Questions
Which of the following experiments have equally likely outcomes? Explain.
$(i)$ $A$ driver attempts to start a car. The car starts or does not start.
$(ii)$ $A$ player attempts to shoot a basketball. She/he shoots or misses the shot.
$(iii)$ $A$ trial is made to answer a true-false question. The answer is right or wrong.
$(iv)$ $A$ baby is born. It is a boy or a girl.
$(i)$ $A$ driver attempts to start a car. The car starts or does not start.
$(ii)$ $A$ player attempts to shoot a basketball. She/he shoots or misses the shot.
$(iii)$ $A$ trial is made to answer a true-false question. The answer is right or wrong.
$(iv)$ $A$ baby is born. It is a boy or a girl.
Difficult
View Solution$A$ box contains $12$ balls out of which $x$ are black. If one ball is drawn at random from the box,what is the probability that it will be a black ball?
If $6$ more black balls are put in the box,the probability of drawing a black ball is now double of what it was before. Find $x$.
If $6$ more black balls are put in the box,the probability of drawing a black ball is now double of what it was before. Find $x$.
Medium
View SolutionIt is given that in a group of $3$ students,the probability of $2$ students not having the same birthday is $0.992$. What is the probability that the $2$ students have the same birthday?
Easy
View Solution$A$ die is numbered in such a way that its faces show the numbers $1, 2, 2, 3, 3, 6$. It is thrown two times and the total score in two throws is noted. Complete the following table which gives a few values of the total score on the two throws:
+ $1$ $2$ $2$ $3$ $3$ $6$ $1$ $2$ $3$ $3$ $4$ $4$ $7$ $2$ $3$ $4$ $4$ $5$ $5$ $8$ $2$ $3$ $4$ $4$ $5$ $5$ $8$ $3$ $4$ $5$ $5$ $6$ $6$ $9$ $3$ $4$ $5$ $5$ $6$ $6$ $9$ $6$ $7$ $8$ $8$ $9$ $9$ $12$
What is the probability that the total score is
$(i)$ even?
$(ii)$ $6?$
$(iii)$ at least $6?$
| + | $1$ | $2$ | $2$ | $3$ | $3$ | $6$ |
|---|---|---|---|---|---|---|
| $1$ | $2$ | $3$ | $3$ | $4$ | $4$ | $7$ |
| $2$ | $3$ | $4$ | $4$ | $5$ | $5$ | $8$ |
| $2$ | $3$ | $4$ | $4$ | $5$ | $5$ | $8$ |
| $3$ | $4$ | $5$ | $5$ | $6$ | $6$ | $9$ |
| $3$ | $4$ | $5$ | $5$ | $6$ | $6$ | $9$ |
| $6$ | $7$ | $8$ | $8$ | $9$ | $9$ | $12$ |
What is the probability that the total score is
$(i)$ even?
$(ii)$ $6?$
$(iii)$ at least $6?$
Difficult
View SolutionTwo dice,one blue and one grey,are thrown at the same time. Write down all the possible outcomes. What is the probability that the sum of the two numbers appearing on the top of the dice is
$(i)$ $8 ?$
$(ii)$ $13 ?$
$(iii)$ less than or equal to $12 ?$
$(i)$ $8 ?$
$(ii)$ $13 ?$
$(iii)$ less than or equal to $12 ?$
Medium
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