The starter and exit quiz of the lesson “Probabilities involving algebra”, from the unit “Conditional probability” (Year 11 Maths) by Oak National Academy.
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Oak National Academy
12 questions
Here are two decks of cards.A single card from Deck 1 and a single card from Deck 2 is drawn to make a pair.There are ___ possible outcomes for drawing one card from each deck.
Here are two decks of cards. A single card from Deck 1 and a single card from Deck 2 is drawn to make a pair.What is the probability that this pair of cards contains an odd number?
Each face on an 8-sided die has a unique integer from 1 to 8 written on it.The Venn diagram shows Event A = {factors of 15} and Event B = {even numbers}.Which of these statements are correct?
Sam plays a video game that can either be won or lost.The probability that Sam wins the video game is 61%.The probability that Sam loses the video game is ___%
This table shows the mutually exclusive and exhaustive set of outcomes, and the probability of each outcome, from spinning a spinner once.Find the value of x.
This table shows the set of outcomes and the probability of each outcome, from spinning a spinner once.The spinner is spun 1000 times. How many times should you expect the spinner to land on C?
Lucas spins a spinner with colours: {green, orange, brown}. P(green) = 30%.P(orange) = P(brown).P(brown) = ___%.
Izzy plays a game she can either win (W), lose (L), or draw (D)P(W) = 0.55.P(L) is twice as likely as P(D). P(D) = ___.
A game can either be won by Alex, Sam, or Jacob.By constructing and solving an algebraic equation, find P(Sam wins).
A spinner with outcomes {A, B, C, D} is spun once.P(A) = 0.12.P(B) = x.P(C) is twice as likely as P(B).P(D) is equally likely as P(A or C).Find an expression for P(D) in terms of x.
A bag of marbles only contains white (W), green (G), and cyan (C) marbles.36% of the marbles are white.P(G) : P(C) = 3 : 5.P(C) = ___%.
A bag of sweets only contains four flavours. The table shows the frequency of each type of sweet in the bag. P(cherry) = 3\over10.The number of apple sweets in the bag is ___.
