Question

Lottery tokens are numbered from 1 to 25. What is the probability that a token drawn is multiple of 5 or 7?

Answer 1

Answer:

Explanation:

Total number of possible outcomes=25

S{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25}

P(getting a token which is multiple of 5)= 5/25= 1/5

P(getting a token which is multiple of 7)=3/25

Answer 2

The probability that a token drawn is multiple of 5 or 7 is $\bold{\frac{8}{25}}$

Solution:

The sample space S = $(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25)$

Total number of possible outcomes = 25

Assume the probability of getting a token which is multiple of 5 = P(A) and the probability of getting a token which is multiple of 7 = P(B)

Multiples of 5 among the given tokens = 5, 10, 15, 20, 25

Multiples of 7 among the given tokens = 7, 14, 21

$\bold{Probabilty=\frac{\text {Number of favorable outcomes}}{\text {Total number of possible outcomes}}}$

$\therfore P(A) = \frac{5}{25}; P(B) = \frac{3}{25}$

$P(A)+P(B)=\frac{5}{25}+\frac{3}{25}=\frac{5+3}{25}=\frac{8}{25}$

Therefore, the probability is $\bold{\frac{8}{25}}$

Learn more:

A bag contains 30 balls numbered 1 to 30 one ball drawn at random find probability that ball drawn is multiple of 5 or 7 and 3 or 7

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