If the probability of event A is 0.48, then the probability of event A^c is

A standard 52-card deck is shuffled and 2 cards are picked from the top of the deck. Note that this is a"without replacement" circumstance!

When two cards are drawn at random from a 52 card deck, the probability of drawing one Jack is 0.145. The probability of drawing one Ace is 0.145, and the probability of drawing a Jack and an Ace is 0.012.

In a certain country, the probability of owning a car is 0.40, the probability of owning a house is 0.55 and the probability of owning both a house and a car is 0.25.

Then the probability of owning a house or a car (but not both) is:

A card is drawn at random from a standard 52-card deck.

You roll a fair die two times.

Event A is that the first roll is a 6. Event B is that the second roll is an even number.

Events A and B are:

The number N of bacteria on a glass dish after  t hours satisfies the relationship:

log₁₀(N) = 0.3 + 2t

For each one hour increase in time, the number of bacteria increase by

The current world record time T (in minutes) for distances D (in kilometres)  ranging from 1 to 42 kilometres can be modelled  by the equation

log₁₀(T) = 0.35 + 1.08 log₁₀(D)

The length of race (in kilometres) that this model predicts would  have a current world record time of 100 minutes is closest to

The number N of bacteria in a glass dish after  t hours satisfies the relationship

log₁₀(N) = 0.3 + 2t

The number of bacteria, N, in the glass dish can be expressed as

The current world record time T (in minutes) for distances D (in kilometres)  ranging from 1 to 42 kilometres can be modelled  by the equation

log₁₀(T) = 0.35 + 1.08 log₁₀(D)

For a 10 kilometre race, this model predicts that the world record time (in minutes)  is closest to