Can someone please explain (d) and confirm if my answers for the rest are correc
ID: 3351603 • Letter: C
Question
Can someone please explain (d) and confirm if my answers for the rest are correct? THANK YOU!!
probability statements true or false
a) false
b) true
c)false
Answer the following questions with TRUE or FALSE It is good practice to explain your answers (a) The intersection of two events A and B can be larger than the union of the same two events A and B (b) The probability of a single event A must be smaller than or equal to the union of two events A and B (c) The condition probability of A given B must be smaller than the intersection of the same two events A and B d) If two events are independent, that means Pr A or B)- Pr{A and B)Explanation / Answer
d) False.
for example- Appearance of any number in a dice throw are independent events.
Let event A be coming number 1 in a dice 1 and event B be coming number 2 in dice 2 in throw of 2 dice.
P(A=1 or B=2) = 1/6+1/6 = 2/3.
P( A=1 and B=2) = 1/6 * 1/6 = 1/36.
Thus P(A or B) i not equal to P(A and B).