Question

A coin is tossed 100 times with the following frequencies. Head: 64,tail:36.the ratio probabilities for each event is: (choose option only)
16:9
9:16
3:4

Answer 1

Answer:

16:9

Step-by-step explanation:

64:36

16:9

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Answer 2

Given:

A coin is tossed hundred times.

Frequency of head $= 64$

Frequency of tails $= 36$

To find:

To find the ratio probabilities for each event.

Step-by-step explanation:

• Probability is the possibility of occurring an event.
• We can easily find a ratio by dividing the frequencies of head and tail.

Solution:

Frequency of head $= 64$

Frequency of tails $= 36$

Ratio $= \frac{probability of heads}{Probability of tails}$

Probability of heads $= \frac{64}{100}$

Probability of tails $= \frac{36}{100}$

Ratio:

$= \frac{\frac{64}{100} }{\frac{36}{100} }\\\\= \frac{64}{36}\\\\= \frac{32}{18}\\\\= \frac{16}{9}$

(a) Hence, the ratio of the events is $16:9$