P(E) + P( Ē)=1

Q.

Find the chance of drawing $2$ blue balls in succession from a bag containing $5$ red and $7$ blue balls, if the balls are not being replaced.

1. $\frac{21}{64}$

2. $\frac{7}{22}$

3. $\frac{21}{66}$

4. $\frac{3}{13}$

Q. What would be the value of the expression $P\left(E\right)+P\left(\overline{E}\right)$?

1. 0
2. 1
3. $\frac{1}{2}$

Q. The probability of complement event of an impossible events is .

Q. There are $7$ red and $9$ purple marbles in a bag of marbles. Scarlett picks one marble at random from the bag. What is the possibility that she did not pick a purple marble?

1. $\text{P(red marble)}$
2. $1-\text{P(purple marble)}$
3. $\frac{7}{16}$
4. $\frac{9}{16}$

Q. If the probability of an event E is $\frac{5}{16}$, then find the probability of complement of the event E.

1. $\frac{5}{16}$
   
2. $\frac{11}{16}$
   
3. $\frac{1}{8}$
   

Q. John rolls a die. What is the likelihood of not rolling $6$?

1. $\frac{1}{6}$
2. $\frac{3}{6}$
3. $\frac{5}{6}$
4. None of the above

Q. The probability of an event is $\frac{8}{9}$. What is the probability of the complement of this event?

1. $\frac{8}{9}$
2. $\frac{1}{9}$
3. $\frac{2}{9}$
4. $0$

Q. Getting $1,2,3,5$ or $6$ on a fair dice is the same as not getting
on the fair dice.

1. $4$
2. $6$
3. $1$

Q. There is a $20\%$ chance that there is bad weather at an airport at any given day. Find the estimated probability that the weather at the same airport is bad on two consecutive days using a simulator.
Take 1 representing bad weather, and 2, 3, 4, and 5 as clean weather.
Simulated data shows the following:

35	25	11	25	24	31	52	22	51	31
21	12	54	33	11	25	51	51	45	33
51	12	54	33	11	25	51	51	45	33
55	25	41	15	53	25	25	37	15	24
53	32	31	23	41	43	32	34	25	13

1. $20\%$
2. $40\%$
3. $6\%$
4. $4\%$