erin has a deck of 50 cards taht are either red, blue, green, yellow, or orange. the theoretical probability of choosing a blue card is 1/5. she draws a random card from the deck 20 times and replaces the card each time.
how many times should erin predict that she will choose a blue card?
If the theoretical probability of choosing a blue card is 1/5, then out of the 20 times she draws a card, she can expect to choose a blue card approximately (1/5) * 20 = 4 times.
To determine how many times Erin should predict that she will choose a blue card, we can use the concept of probability. The theoretical probability of choosing a blue card is given as 1/5. Since Erin is drawing a random card from the deck 20 times and replacing it each time, the probability remains the same for each draw.
Thus, the expected number of times Erin should predict to draw a blue card can be found by multiplying the theoretical probability by the number of draws:
Expected number = Probability of selecting a blue card × Number of draws
Expected number = (1/5) × 20
Calculating the above expression:
Expected number = 1/5 × 20 = 20/5 = 4
Therefore, Erin should predict that she will choose a blue card approximately 4 times when drawing randomly from the deck 20 times and replacing the card after each draw.
To calculate how many times Erin should predict that she will choose a blue card, we need to determine the expected number of blue cards based on the theoretical probability.
The theoretical probability of choosing a blue card is given as 1/5, meaning that out of the 50 cards in the deck, 1/5 of them are blue.
To find the expected number of blue cards when drawing randomly with replacement, we can multiply the probability of drawing a blue card (1/5) by the number of times she draws a card (20):
(1/5) * 20 = 20/5 = 4
Therefore, Erin should predict that she will choose a blue card about 4 times.