Question

Find the indicated probability. Round your answer to 6 decimal places when necessary. TWO "fair" coin are tossed. Let A be the event of number of tails equal 1 and be the event of getting head for the second coin. Find the probability that either A or B occurs A. 174 B. 1/2 OC1 OD. 3/4 QUESTION 13 Determine whether the events are dependent A dice get rolled 4 times. Are rolls dependent on each other? O A. True OB. False QUESTION 14 Solve the problem In a certain lottery, 5 different numbers between 1 and 9 inclusive are drawn. These are the winning numbers. How many different selections are possible? Assume that the order in which the numbers are drawn is unimportant O A 130 B. 120 O C. 110 OD. 126

Answer 1

(12)

Here let S be sample space then

S={HH,HT,TH,TT}

A={HT,TH} therefor P(A)=2/4=1/2

B={HH,TH} therefor P(B)=2/4=1/2

AnB={TH} therefor P(A and B)=1/4

P(A or B)=P(A)+P(B)-P(A and B)

=1/2+1/2-1/4 =3/4

option (D) is Correct.

(13)

Select FALSE

Because every time we roll our dice we have all six faces available so no roll is dependent on the previous roll.

But if it is drawing of card then it will be dependent.

(14)

As order of the selection does not matter therefore we have to use Combinatories.

Here we need to choose 5 numbers out of total nine numbers {1,2,3,..,8,9}

So number of possible choices is C(9,5)=126

option (D) is correct