Question

dice is thrown 400 times. The frequency of outcomes is given:


Outcomes

1

2

3

4

5

6

Frequency

70

65

60

75

63

67


Find the probability of getting an odd number
Find the probability of getting at most 3 on the dice

Answer 1

$\LARGE{ \underline{ \green{ \sf{Required \: answer:}}}}$

Considering the outcomes with their frequency, let's find the probability of getting an odd number and at most 3 on a dice out of 400 outcomes.

Formula for finding P(Event):

$\large{ \because{ \boxed{ \rm{p(e) = \frac{no. \: of \: favourable \: outcomes}{total \: outcomes} }}}}$

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(1) Odd number outcomes = 1,3,5

• Frequency of getting 1 = 70
• Frequency of getting 3 = 60
• Frequency of getting 5 = 63

No. of favourable outcomes = 70 + 60 + 63 = 193

Total number of outcomes = 400

Then, P. of getting odd no. = 193/400

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(2) At most 3 outcomes = 1,2,3

• Frequency of getting 1 = 70
• Frequency of getting 2 = 65
• Frequency of getting 3 = 60

Number of favourable outcomes = 70 + 65 + 60 = 195

Total number of outcomes = 400

Then, P. of getting at most 3 = 195/400 = 39/80

And we are done !!