There are $40$ students in Class $X$ of a school,of whom $25$ are girls and $15$ are boys. The class teacher has to select one student as a class representative. She writes the name of each student on a separate card,the cards being identical. Then she puts cards in a bag and stirs them thoroughly. She then draws one card from the bag. What is the probability that the name written on the card is the name of $(i)$ a girl? $(ii)$ a boy?
- AProbability of a girl: $5/8$,Probability of a boy: $3/8$
- BProbability of a girl: $3/8$,Probability of a boy: $5/8$
- CProbability of a girl: $1/2$,Probability of a boy: $1/2$
- DProbability of a girl: $2/5$,Probability of a boy: $3/5$
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Similar Questions
Two dice,one blue and one grey,are thrown at the same time.
$(i)$ Complete the following table:
$\begin{array}{|l|c|c|c|c|c|c|c|c|c|c|c|} \hline \text{Sum} & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\ \hline \text{Prob.} & \frac{1}{36} & & & & & & \frac{5}{36} & & & & \frac{1}{36} \\ \hline \end{array}$
$(ii)$ $A$ student argues that 'there are $11$ possible outcomes $2, 3, 4, 5, 6, 7, 8, 9, 10, 11$ and $12$. Therefore,each of them has a probability $\frac{1}{11}$.' Do you agree with this argument? Justify your answer.
$(i)$ Complete the following table:
$\begin{array}{|l|c|c|c|c|c|c|c|c|c|c|c|} \hline \text{Sum} & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\ \hline \text{Prob.} & \frac{1}{36} & & & & & & \frac{5}{36} & & & & \frac{1}{36} \\ \hline \end{array}$
$(ii)$ $A$ student argues that 'there are $11$ possible outcomes $2, 3, 4, 5, 6, 7, 8, 9, 10, 11$ and $12$. Therefore,each of them has a probability $\frac{1}{11}$.' Do you agree with this argument? Justify your answer.
Difficult
View Solution$A$ lot consists of $144$ ball pens of which $20$ are defective and the others are good. Nuri will buy a pen if it is good,but will not buy if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that
$(i)$ She will buy it?
$(ii)$ She will not buy it?
$(i)$ She will buy it?
$(ii)$ She will not buy it?
Medium
View SolutionGopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing $5$ male fish and $8$ female fish. What is the probability that the fish taken out is a male fish?
Medium
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 Solution$A$ carton consists of $100$ shirts of which $88$ are good,$8$ have minor defects and $4$ have major defects. Jimmy,a trader,will only accept the shirts which are good,but Sujatha,another trader,will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that
$(i)$ it is acceptable to Jimmy? $\quad (ii)$ it is acceptable to Sujatha?
$(i)$ it is acceptable to Jimmy? $\quad (ii)$ it is acceptable to Sujatha?
Medium
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