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Answer:
Probablity of getting six in at most three roll= 0.199.
Step-by-step explanation:
Given: Dice rolled at most 3 times untill a 6 occurs.
First, finding the probablity of getting 6 in a dice if rolled once.
Probablity=
We know, dice have six side, therefore, total number of event will be 6.
∴ Probablity of getting six in one roll=
As given, Dice is rolled at most 3 times.
Now, finding the probablity of getting 6 in a dice if rolled 3 times.
∴ Probablity of getting six in three roll=
⇒ Probablity of getting six in three roll=
Taking LCD 216
⇒Probablity of getting six in three roll=
⇒Probablity of getting six in three roll=
∴Probablity of getting six in three roll=0.199