Question

A die is thrown 200 times by a player during a game. The data is recorded in the table given below:
Outcomes 1 1 1 2 3 4 5 6
Frequency 40 36 24 | 32 | 38 | 30
(i) Find the probability of getting an even number.

(ii) Find the probability of getting a multiple of3.​

Answer 1

Answer:

98/200 (2, 4, 6)

54/200 (3, 6)

Answer 2

i) P(E) = $\dfrac{98}{200}$ or $\dfrac{49}{100}$

ii) P(E) = $\dfrac{54}{200}$ or $\dfrac{27}{100}$

Step-by-step explanation:

The given data is recorded in the table given below:

Outcomes:   1        2     3     4      5       6

Frequency:   40   36   24    32    38     30

Here, total number of possible outcomes = 200

i) Let E be the event of getting an even number.

Favorable outcomes (2, 4 and 6) = 36 + 32 + 30 = 98

∴ P(E) = $\dfrac{98}{200}$ or $\dfrac{49}{100}$

ii) Let E be the event of getting a multiple of 3.

Favorable outcomes (3 and 6) = 24 + 30 = 54

∴ P(E) = $\dfrac{54}{200}$ or $\dfrac{27}{100}$