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S seema garhwal
It is given that                                           Hence, option D is correct.

S seema garhwal
It is given that    Hence,   is not defined . Thus, correct option is C.

S seema garhwal
Consider the experiment of throwing a die, if a multiple of 3 comes up, throw the die again and if any other number comes, toss a coin. Total outcomes  Total number of outcomes =20 Let A be a event when coin shows a tail. Let B be a event that ‘at least one die shows a 3’.

S seema garhwal
Two dice are thrown. Total outcomes  Let A be the event ‘the sum of numbers on the dice is 4. Let B be  the event that two numbers appearing on throwing two dice are different. Therefore, the required probability is 1/15

S seema garhwal
An instructor has a question bank consisting of 300 easy True / False questions, 200 difficult True / False questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. Total number of questions  Let A = question be easy. Let B = multiple choice question  easy multiple questions   Therefore, the required probability is 5/9

S seema garhwal
Assume that each born child is equally likely to be a boy or a girl.   Let  first and second girl are denoted by   respectively also  first and second boy are denoted by     If a family has two children, then total outcomes     Let A= both are girls      and  C= at least one is a girl =

S seema garhwal
Assume that each born child is equally likely to be a boy or a girl.   Let  first and second girl are denoted by   respectively also  first and second boy are denoted by     If a family has two children, then total outcomes     Let A= both are girls      and  B= the youngest is a girl =               Therefore, the required probability is 1/2

S seema garhwal
A fair die is rolled. Total oucomes    and        ,

S seema garhwal
A fair die is rolled. Total oucomes  ,

S seema garhwal
A fair die is rolled. Total oucomes                 and

S seema garhwal
A black and a red dice are rolled. Total outcomes  Let the  A be event obtaining a sum 8  and B be a event thatthat the red die resulted in a number less than . Red dice is rolled after black dice.

S seema garhwal
A black and a red dice are rolled. Total outcomes  Let the  A be event obtaining a sum greater than  and B be a event that the black die resulted in a

S seema garhwal
E : son on one end,         F : father in middle Total outcomes  Let S be son, M be mother and F be father. Then we have,

S seema garhwal
E : 4 appears on the third toss,         F : 6 and 5 appears respectively on first two tosses  Total outcomes

S seema garhwal
E : no tail appears,    F : no head appears Total outcomes =4

S seema garhwal
E : tail appears on one coin, F : one coin shows head Total outcomes =4

S seema garhwal
The sample space S when a coin is tossed three times is S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} It can be seen that the sample space (S) has 8 elements.  Total number of outcomes According to question E: at most two tails, F: at least one tail

S seema garhwal
The sample space S when a coin is tossed three times is S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT} It can be seen that the sample space (S) has 8 elements.  Total number of outcomes According to question E : at least two heads ,  F : at most two heads