Exercise 14 Page 717

When calculating probability, we are comparing the number of favorable outcomes to the number of possible outcomes. To calculate the probability that a randomly chosen card has a number less than 5 we will use the Probability Formula. P=Favorable Outcomes/Possible Outcomes There is a total of 10 cards socks, which is the number of possible outcomes. Out of these, there are four cards that has the number less than five: 1, 2, 3, and 4. This means that the number of favorable outcomes is 4. Now we have enough information to calculate P(less than5).

The probability of choosing a card with a number less than 5 is 25. Next, we can rewrite the fraction as a decimal and as a percent.

As a Decimal

To write a fraction as a decimal, we divide the numerator by the denominator.

We found that 25 expressed as a decimal is 0.4.

As a Percent

To write a fraction as a percent, we first find an equivalent fraction with a denominator of 100. 2/5=p/100 Let's solve the equation for p.

2/5 = p/100

MultEqn

LHS * 100=RHS* 100

2/5* 100 =p/100* 100

FracMultDenomToNumber

a/100* 100 = a

2/5* 100 = p

MoveRightFacToNum

a/c* b = a* b/c

200/5 = p

CalcQuot

Calculate quotient

40 = p

RearrangeEqn

Rearrange equation

p = 40

The fraction written as a percent is 40 %.