Tom wants to know what the probability is of selecting a number card from a normal deck of cards. What would the complement of this event be and what is the probability of the complement?
Complement is not a number card / a court card.
P(court card) = 16/52 = 4/13
200
List the sample space for rolling a fair dice.
1, 2, 3, 4, 5, 6
200
What is the probability of getting an even number when a fair 6-sided dice is rolled?
3/6 = 1/2 = 0.5
200
Use a tree diagram to show the sample space for tossing a coin three times.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
200
Use a table to show the sample space for rolling a fair dice and tossing a normal coin together.
Use the multiplication principle to find the probability of tossing two heads in a row?
P(H,H) = 1/2 x 1/2
= 1/4
300
A card is selected from a normal deck and the suit of the card is noted. List the sample space for suit.
13 Hearts, 13 Diamonds, 13 Spades, 13 Clubs
300
A card is selected from a normal deck of cards. What is the probability of selecting a King?
4/52 = 1/13 = 0.0769
300
A bag contains 2 yellow balls and 3 pink balls. Kay picked out a ball, put it back in the bag and then picked another ball. Use a tree diagram to find the probability of getting two pink balls in a row.
4 lots of YY
6 lots of YP
6 lots of PY
9 lots of PP
P(pp) = 9/25
300
A bag contains 7 green and 3 black balls. A ball is randomly selected from the bag, replaced and then another ball is selected. Use a table to calculate the probability of selecting a black ball and then a green ball.
P(B,G) = 21/100 = 0.21
300
A bag contains 7 green and 3 black balls. A ball is randomly selected from the bag, replaced and then another ball is selected. Find the probability that the first ball is black and the second is green.
P(b,g) = P(b) x P(g)
= 3/10 x 7/10
= 21/100
= 0.21
400
A party bag contains 2 redskins, 5 fruit chews, 1 lollipop, and a freddo frog. List the sample space for selecting one treat from the party bag.
R, R, FC, FC, FC, FC, FC, L, FF
400
A bag in the sports store contains 5 white hockey balls, 6 red cricket balls and 4 white cricket balls. A ball is selected at random. What is the probability of selecting a white ball?
9/15 = 3/5 = 0.6
400
Use a tree diagram to find the probability of getting at least three heads when a coin is tossed four times.
P(at least 3H) = 5/16
400
Two normal dice are rolled and the sum on the faces is noted. Use a table to find the probability of rolling a sum of 7.
P(7) = 6/36 = 1/6 = 0.167
400
Four cards are selected from a normal deck of cards. After each selection, the cards are not placed back into the deck. What is the probability of selecting four picture cards in a row?
P(4 picture cards) = 12/52 x 11/51 x 10/50 x 9/49
= 3/13 x 11/51 x 1/5 x 9/49
= 297/162435
= 0.00182842
500
List the sample space for tossing two coins.
HH, HT, TH, TT
500
What has the greater probability when rolling a normal dice, getting a number greater than 3 or a number less than 5?
a number less than 5 (P=4/6)
500
A prize box contains 4 pencils and 6 rubbers. As a reward for his hard work during a lesson, Tom has the opportunity to select two prizes from the box. What is the probability of Tom selecting a pencil followed by a rubber?
12 lots of pp
24 lots of pr
24 lots of rp
30 lots of rr
P(pr) = 24/90 = 0.267
500
Two octahedral dice are rolled and the sum on the faces is noted. Use a table to find the probability of rolling a sum that is greater than 8.
P(sum greater than 8) = 36/64 = 0.5625
500
Three yachts, Alpha, Bravo and Charlie, often race and it is known that their probabilities of winning are 1/3, 1/2 and 1/6 respectively. A contest involving two races is held. Find the
probability that Alpha does not win either race
P(w) = 1/3 and P(l) = 2/3
P(ll) = 2/3 x 2/3
= 4/9
= 0.4444