A single die is rolled twice. Find the probability of...

A single die is rolled twice. Find the probability of rolling a 3 the first time and a 5 the second time. • Find the probability of rolling a 3 the first time and a 5 the second time. (Type an integer or a simplified fraction.)

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Transcript

00:01 Hello student in this question the sample space consists of 36 elementary events and those events are 1 .1 1 .2 1 .3 1 .4 1 .5 and 1 .6.

00:21 Similarly 2 .1 2 .2 2 .3 2 .4 2 .5 2 .5 and 1 .5 and 2 .6 3 .1, 3 .2, 3 .3, 3 .4, 3 .5, 3 .6.

00:53 4 .1, 4 .2, 4 .3, 4 .4 .4.

01:01 4 .5, 4 .6.

01:06 5 .1, 5 .2, 5 .5, 5 .5.

01:10 5 .3.

01:13 5 .4, 5 .5 and 5 .6.

01:21 And lastly, 6 .1, 6 .2, 6 .3, 6 .4, 6 .5 and 6 .6 .6.

01:33 6 .6.

01:33 So there are 36 elementary events.

01:37 Now, e be the event that a number is even.

01:45 A number is even and it comes for the first time.

01:48 Even number, even number occur on the first time, occur on the first time, on the first time.

02:04 And b be the probability and b be the event that a number greater than three, number greater than three, greater than three, comes on the second time occur on the second time occur on the second time on the second time so let let a intersection be the event that an even number the first time and number greater than be the second time so this is the probability the combination that we have the will be 2 comma 4 2 .5 2 .6 2.

03:00 Comma and 4 .4.

03:05 4 .5 4 .6.

03:10 6 .4...

Question

A single die is rolled twice. Find the probability of rolling a 3 the first time and a 5 the second time. • Find the probability of rolling a 3 the first time and a 5 the second time. (Type an integer or a simplified fraction.)

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