Question

A square, a triangle, a trapezoid, a regular pentagon, and a rhombus are figures to be
selected for a test. What is the probability that a figure selected at random has at least one pair of parallel sides?
(A) 1/5
(B) 2/5
(C) 3/5
(D) 4/5
(E) 1

Answer 1

Answer:

a

Step-by-step explanation:

1-5 has a parallel sides

Answer 2

The correct answer is option (C) 3/5

GIVEN

Figures- 1 Square, 1 triangle, 1 trapezoid, 1 regular pentagon, and 1 rhombus.

TO FIND

The probability that a figure selected at random has at least one pair of parallel sides

SOLUTION

We can simply solve the above problem as follows-

Probability is the prediction or calculating of the possibility of the occurrence of an event.

It is calculated by using the formula-

$probability = \frac{favorable \: outcomes}{total \: outcome}$

In the given question,

Figures that have parallel sides are-

Square- 2 pairs

trapezoid - 1 pair

triangle - 0

pentagon - 0

Rhombus - 2 pairs

Therefore,

Number Figures that have at least one pair of parallel sides are 3

So,

Probability = Favorable outcomes/Total outcome

where,

Favorable outcome = 3

Total outcome = 5.

Putting the values in the above formula, we get -

probability = 3/5

Hence, the probability that a figure selected at random has at least one pair of parallel sides is 3/5

#Spj2

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