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- Question 7 Exercise 6.4
- ion 7(i)===== Two dice are thrown simultaneously. Find the probability of getting doublet of even number... on 7(ii)===== Two dice are thrown simultaneously. Find the probability of getting a sum less than $6$. ... n 7(iii)===== Two dice are thrown simultaneously. Find the probability of getting a sum more than $7.$ =... on 7(iv)===== Two dice are thrown simultaneously. Find the probability of getting a sum greater than $10
- Question 13 Exercise 6.2
- BB) Peshawar, Pakistan. =====Question 13(i)===== Find the number of permutation of word "Excellence." H... \ &=15,120 \end{align} =====Question 13(ii)===== Find the number of permutation of word "Excellence." H... \\ &=3360 \end{align} =====Question 13(iii)===== Find the number of permutation of word "Excellence." H... \\ &=10,080\end{align} =====Question 13(iv)===== Find the number of permutation of word "Excellence." H
- Question 4 Exercise 6.4
- Solution==== First we construct a tree diagram to find out the sample space, when the coin is tossed th... Solution==== First we construct a tree diagram to find out the sample space, when the coin is tossed th... Solution==== First we construct a tree diagram to find out the sample space, when the coin is tossed t... Solution==== First we construct a tree diagram to find out the sample space, when the coin is tossed th
- Question 9 Exercise 6.5
- g $\dfrac{1}{7}$ and $\dfrac{1}{5}$ respectively. Find the probability that both will be selected. ====S... g $\dfrac{1}{7}$ and $\dfrac{1}{5}$ respectively. Find the probability that Only one is selected. ====So... g $\dfrac{1}{7}$ and $\dfrac{1}{5}$ respectively. Find the probability that none will be sclected. ====S... nd{align} None will be selected. Here we have to find probability that none of both is selected that is
- Question 3 Exercise 6.4
- f a student guesses the answer for each question, find the probability that $8$ answers are correct. ===... f a student guesses the answer for each question, find the probability that $7$ answers are correct. ===... f a student guesses the answer for each question, find the probability that $6$ answers are correct. ===... f a student guesses the answer for each question, find the probability that at least $6$ answers are cor
- Question 6 Exercise 6.4
- dom from a well shuffled pack of $52$ cards. Then find the probability of each of the Drawing an ace car... dom from a well shuffled pack of $52$ cards. Then find the probability of each of the Drawing either spa... dom from a well shuffled pack of $52$ cards. Then find the probability of each of the Drawing a diamond ... dom from a well shuffled pack of $52$ cards. Then find the probability of each of the Drawing a face car
- Question 1 and 2 Exercise 6.5
- )=\dfrac{2}{5}$ and $P(A \cup B)=\dfrac{1}{2}$.\\ Find $P(A \cap B)$. ====Solution==== We know by additi... r{B})=$ $\dfrac{5}{8}, P(A \cup B)=\dfrac{3}{4}$. Find $P(A \cap B)$ ====Solution==== We are given: $$P(... r{B})=$ $\dfrac{5}{8}, P(A \cup B)=\dfrac{3}{4}$. Find $P(\bar{A} \cap \bar{B})$. ====Solution==== We ar
- Question 7 & 8 Review Exercise 6
- ===== If $P(A)=0.8, P(B)=0.5$ and $P(B / A)=0.4$, find $P(A \cap B)$ ====Solution==== We know that: \beg... ===== If $P(A)=0.8, P(B)=0.5$ and $P(B / A)=0.4$, find $P(A / B)$ ====Solution==== We know that $$P(A \m... ===== If $P(A)=0.8, P(B)=0.5$ and $P(B / A)=0.4$, find $P(A \cup B)$ ====Solution==== \begin{align} P(A
- Question 3 & 4 Exercise 6.1
- &=n^2+9 n+20\end{align} =====Question 4(i)===== Find the value of $n$, when $\dfrac{n(n !)}{(n-5) !}=\... ative, therefore $n=6$. =====Question 4(ii)===== Find the value of $n$, when $\dfrac{n !}{(n-4) !}: \df
- Question 5 and 6 Exercise 6.3
- s, giving three collinear. =====Question 6===== Find the total number of diagonal of hexagon. ====Solution==== First we find the total number lines. We know one line can be d
- Question 5 Exercise 6.4
- be selected at random form $6$ men and $4$ women. Find the probability that the committee will consist o... be selected at random form $6$ men and $4$ women. Find the probability that the committee will consist o
- Question 3 and 4 Exercise 6.5
- on 3===== Given $P(A)=0.5$ and $P(A \cup B)=0.6$. find $P(B)$ if $A$ and $B$ are mutually exclusive. ===... om $1$ to $30.$ One ticket is selected at random. Find the probability that its number is either odd or
- Question 2 Review Exercise 6
- n 2(i)===== If ${ }^{2 n} C_r={ }^{2 n} C_{r+2}$; find $r$. ====Solution==== Given that: \begin{align} {... on 2(ii)===== If ${ }^{18} C_r={ }^{18} C_{r+2}$; find ${ }^r C_5$. ====Solution==== Given that: \begin{
- Question 9 & 10 Review Exercise 6
- $$=\dfrac{7 !}{3 ! \cdot 2 !}=420 $$ But we have find the total number that are greater than $1$ millio... $n$ men is to be seated around a circular table. Find the probability that two particular men sit toget
- Question 2 Exercise 6.3
- KPTBB) Peshawar, Pakistan. =====Question 2===== Find $n$ and $r$ if ${ }^n P_r=840$ and ${ }^n C_r=35$