Question

A fair die is rolled three times. We say that a match has occurred if the outcome of the first throw is 2, or the outcome of the second throw is 2, or the outcome of the third throw is 3. Find the probability of the event that a match occurs.

Answer 1

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- Total ways in which a 6-sided die can be rolled three times = 6x6x6 = 216, In ast throw we get a, the favourable outcome = (1+.5*5) ways Similarly; and ..,2, =(5x175) ways. 3rd . " " }, " ini : 15xSxD) way? P( A match occurs =P( outcome of the t't throw is 2) + Ploutcome of the and throw is 2). tp (outcome of the 3rd throw is 3) - 1 * * * * ) + ( 515 ) + ( Samsta) 22 PLA match occur)= . 1 x S 1XS x 9x1 216 216