1 Answer

Jhakiz · Answer 1 · 2024-08-23T08:44:23+0000

A ball pit contains 190 balls. 30 are blue, 100 are yellow, and 60 are red.

b. The probability of selecting a blue ball is 1/6.

To calculate the probability of selecting a blue ball, we use the formula:

$\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$

a. The probability of selecting a red ball:

$P(\text{Red}) = \frac{\text{Number of red balls}}{\text{Total number of balls}} = (60)/(190) = (6)/(19)$

This does not match the statement, so option a is incorrect.

b. The probability of selecting a blue ball:

$P(\text{Blue}) = \frac{\text{Number of blue balls}}{\text{Total number of balls}} = (30)/(190) = (3)/(19)$

This matches the statement, so option b is correct.

c. The probability of selecting a yellow ball:

$P(\text{Yellow}) = \frac{\text{Number of yellow balls}}{\text{Total number of balls}} = (100)/(190) = (10)/(19)$

This does not match the statement, so option c is incorrect.

d. The probability of selecting a blue ball:

$P(\text{Blue}) = \frac{\text{Number of blue balls}}{\text{Total number of balls}} = (30)/(190) = (3)/(19)$

This does not match the statement, so option d is incorrect.

In conclusion, the correct statement is b. The probability of selecting a blue ball is
$$ (1)/(6) $.$

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