a teacher holds 40 class cards of 14 girls and 26 boys. shes huffles the cards and drawn one.
a. what is the probability that the card drawn is a girl's card?
b. what is the probability that the card belongs to a boy?
c. what is the probability that the cards belongs to either a boy or a girl?
a. 14/40
b. 26/40
c. Either-or probabilities are found by adding the individual probabilities.
To find the probability of an event, we need to divide the number of favorable outcomes by the total number of possible outcomes. In this case, the teacher holds 40 class cards, with 14 girls and 26 boys.
a. Probability that the card drawn is a girl's card:
To find this probability, we need to divide the number of girls' cards (14) by the total number of cards (40).
Probability of drawing a girl's card = Number of girls' cards / Total number of cards
Probability of drawing a girl's card = 14 / 40
Simplifying the fraction, we get:
Probability of drawing a girl's card = 7 / 20
b. Probability that the card belongs to a boy:
Similarly, to find this probability, we need to divide the number of boys' cards (26) by the total number of cards (40).
Probability of drawing a boy's card = Number of boys' cards / Total number of cards
Probability of drawing a boy's card = 26 / 40
Simplifying the fraction, we get:
Probability of drawing a boy's card = 13 / 20
c. Probability that the card belongs to either a boy or a girl:
This can be found by adding the individual probabilities of drawing a boy's card and drawing a girl's card.
Probability of drawing either a boy or a girl's card = Probability of drawing a boy's card + Probability of drawing a girl's card
Probability of drawing either a boy or a girl's card = 13 / 20 + 7 / 20
Simplifying the fraction, we get:
Probability of drawing either a boy or a girl's card = 20 / 20
Probability of drawing either a boy or a girl's card = 1 or 100%
So, the final probabilities are:
a. Probability of drawing a girl's card = 7 / 20
b. Probability of drawing a boy's card = 13 / 20
c. Probability of drawing either a boy or a girl's card = 1 or 100%