## Probability Worksheet Solution13

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In this page probability worksheet solution13 we are going to see
solution of some practice questions of the probability worksheet.

**Question 12**

A two digit number is formed with the digits 2,5,9 (repetition is
allowed). Find the probability that the number is divisible by 2 or 5.

**Solution:**

Sample space = {22,25,29,55,52,59,99,92,95}

n (S) = 9

Let A be the event of getting a number which is divisible by 2

A = {22,52,92}

n (A) = 3

P (A) = n (A)/n (S)

= 3/9

Let B be the event of getting a number which is divisible by 5

B = {25,55,95}

n (B) = 3

P (B) = n (B)/n (S)

= 3/9

Since the events A and B are mutually exclusive events,then

P (A ∩ B) = 0

P (A U B) = P (A) + P (B) - P (A ∩ B)

= (3/9) + (3/9) - 0

= (3 + 3)/9

= 6/9

= 2/3

**Question 13**

Each individual letter of the word "ACCOMMODATION" is written in a
piece of paper,and all 13 pieces of papers are placed in a jar. If one
piece of paper is selected at random from the jar,find the probability
that

(i) The letter "A" or "O" is selected

(ii) The letter "M" or "C" is selected

**Solution:**

sample space = {A,C,C,O,M,M,O,D,A,T,I,O,N}

Number of individual letter in the word "ACCOMMODATION" is 13

n (S) = 13

**(i) The letter "A" or "O" is selected**

Let A be the event of selecting a letter be "A"

n (A) = 2

P (A) = n (A)/n (S)

= 2/13

Let B be the event of selecting a letter be "O"

n (B) = 3

P (B) = n (B)/n (S)

= 3/13

Since both the events A and B are mutually exclusive events,then

P (A ∩ B) = 0

P (A U B) = P (A) + P (B) - P (A ∩ B)

= (2/13) + (3/13) - 0

= (2 + 3)/13

= 5/13

**(ii) The letter "M" or "C" is selected**

Let A be the event of selecting a letter be "M"

n (A) = 2

P (A) = n (A)/n (S)

= 2/13

Let B be the event of selecting a letter be "C"

n (B) = 2

P (B) = n (B)/n (S)

= 2/13

Since both the events A and B are mutually exclusive events,then

P (A ∩ B) = 0

P (A U B) = P (A) + P (B) - P (A ∩ B)

= (2/13) + (2/13) - 0

= (2 + 2)/13

= 4/13

probability worksheet solution13 probability worksheet solution13