In a bag there are 10 balls numbered 1 to 10 A ball is picked at random find the probability of picking the following (a) number 7
(b) an odd number
(c) an even number
(d) an prime number

a) 1/10

b) 1/2

c) 1/2

d) 2/5

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Total event/Total sample space

Since there are ten ball in the bag numbered 1 to 10

S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

n(S) = 10

Total sample space = 10

a) If we are to get the probability of picking the number 7.

(E) = {7}

n(E) = 1

Event = 1

Pr(picking 7) = 1/10

b) a) If we are to get the probability of picking an odd number

(E) = {1, 3, 5, 7 , 9}

n(E) = 5

Event = 5

Pr(an odd number) = 5/10 = 1/2

c) a) If we are to get the probability of picking an even number

(E) = {2, 4, 6, 8,10}

n(E) = 5

Event = 5

Pr(an even number) = 5/10 = 1/2

d) a) If we are to get the probability of picking prime

(E) = {2, 3, 5, 7}

n(E) = 4

Event = 4

Pr(prime) = 4/10 = 2/5

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