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mylen [45]
3 years ago
7

Two fair dice are tossed, and the up face on each die is recorded. Find the probability of observing each of the following event

s: A:{ The difference of the numbers is 2 or less } B:{ A 4 does not appear on either die } C:{ The sum of the numbers is 10 or more }
Mathematics
1 answer:
Kamila [148]3 years ago
6 0

Answer:

Step-by-step explanation:

When two fair dice are tossed sample space consists of 36 events

(1,1)....(6,6)

A_ The difference of numbers is 2 or less

Favorable outcomes = (1,1) (1,2) (1,3) (2,1) (2,2)(2,3) (2,4) (3,1) (3,2) (3,3) (3,4) (3,5) (4,2) (4,3)(4,5) (4,6) (5,3) (5,4) (5,6)\\

Hence Probability = \frac{19}{36}

B) A 4 does not appear on either die

Then we must not have these

(4,1)(4,2)(4,3) (4,4) (4,5) (4,6)\\(1,4) (2,4) (3,4) (5,4) (6,4)

Hence probability = \frac{36-11}{36} =\frac{25}{36}

C:  The sum of numbers is 10 or more:

FAvourable outcomes are:

(4,6) (5,5) (5,6) (6,5) (6,4)

Probability = \frac{5}{36}

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