Dependent Events

Q.

If events $A,B$ are independent, $P(A)=2/3andP(B)=2/7$ then $P(A\cap B)$ is equal to

1. $4/21$

2. $5/21$

3. $1/21$

4. $3/21$

Q.

A pack of cards is counted with face downwards. It is found that one card is missing. One card is drawn and is found to be red. The probability that the missing card is red, is

1. $\frac{12}{51}$

2. $\frac{18}{51}$

3. $\frac{25}{51}$

4. None of these.

Q. Emma plays card games. She picks a card at random from a well-suffled deck of $52$ cards. Then without putting the first card back, she picks a second card at random. Which type of compound event is this?

1. Independent
2. Dependent
3. Simple
4. None of the above

Q. Two events $X$ and $Y$ are occuring simultaneously. Probability of occurance of event $X$ is $0.64$ and that of event $Y$ when event $X$ has already occured is $0.32$. What will be the probability of occurance of events $X$ and $Y$ simultaneously?

1. $0.2048$
2. $0.2400$
3. $0.6400$
4. $0.3200$

Q. If $\text{P(A)}=\frac{1}{4}$, $\text{P(B)}=\frac{7}{4}$, and $\text{P(A and B)}=\frac{5}{14}$, then what types of events are A and B?

1. Independent
2. Dependent

Q. Compound events in which the outcome of one depends upon the outcome of the other are called events.

Q. A bag contains 6 blue, 3 violet and 7 grey balls. Two balls are drawn at random without replacement. What's the type of event if both the balls drawn are violet?

1. Dependent
2. Independent