An experiment involves rolling a pair of dice and recording the numbers that come up. Describe the following events:
A: the sum is greater than 8,
B: 2 occurs on either die
C: the sum is at least 7 and a multiple of $3 .$ Which pairs of these events are mutually exclusive?

Answer

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Algebra

NCERT Class 11 - Math

Chapter 16

Probability

Section 2

Random Experiments

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Video Transcript

in this problem. It is first rate the sample space of ruling a pair of back. So the sample space is given life. One comma one, one comma two, one comma three. One comma four, one comma five, one comma six and two comma one, two former too two comma three to form a four, two comma size And 2006. Similarly, it goes for three forward five and six. So this is the sample space. Now let us look at the part one when some is greater than it. So the possibilities are three comma six Common four comma five, four color six comma five common four, five comma five And 5:06 comma six comma three six comma four, six comma five And 606. So these are the possibilities for a second is be where to occurs on either die. So yes, two comma one, two comma two, two comma three, Food for My soul, two, comma size two, comma 6, comma one comma two. Come on three, comma two. Call one both comma comma five, comma two. Carmen six common. This is the sample space. This is the space for B. Now let us look at sea. The sum is at least seven under multiple of three. So the possibilities. Uh huh. Three comma six, comma 45 five comma fold six, common three and six common six. These are the only possibilities for C. Now we have to find out the events which are mutually exclusive. Let us first look at the intersection. B intersection. B has no values. There's an al set. Let us look at me intersection C. Again. This has no values. This is another set. The code is seen the section A. This has all the values of C. Says three comma six, four, comma five, 10, All the five values. And this is not equal to an empty set. Which means that events A. And B. And events BNC are mutually exclusive and see and they are not mutually exclusive. That's all

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