which event has the highest likelihood? a the likelihood of randomly drawing a quarter from a bag that…

which event has the highest likelihood? a the likelihood of randomly drawing a quarter from a bag that contains 5 quarters, 2 dimes and 4 pennies. b the likelihood of choosing an even number while randomly drawing a card from a cup containing 20 cards numbered 1 - 20. c the likelihood of rolling a 7 on a standard six - sided number cube. d the likelihood of randomly drawing a queen from a standard deck of cards.

which event has the highest likelihood? a the likelihood of randomly drawing a quarter from a bag that contains 5 quarters, 2 dimes and 4 pennies. b the likelihood of choosing an even number while randomly drawing a card from a cup containing 20 cards numbered 1 - 20. c the likelihood of rolling a 7 on a standard six - sided number cube. d the likelihood of randomly drawing a queen from a standard deck of cards.

Answer

Answer:

B. The likelihood of choosing an even number while randomly drawing a card from a cup containing 20 cards numbered 1 - 20.

Explanation:

Step1: Calculate probability of A

The total number of coins is $5 + 2+4=11$. The probability of drawing a quarter $P(A)=\frac{5}{11}\approx0.455$.

Step2: Calculate probability of B

Among 1 - 20, there are 10 even - numbered cards. The probability of choosing an even number $P(B)=\frac{10}{20}=0.5$.

Step3: Calculate probability of C

A standard six - sided number cube has values 1 - 6, so the probability of rolling a 7 is $P(C) = 0$.

Step4: Calculate probability of D

A standard deck of cards has 52 cards and 4 queens. The probability of drawing a queen $P(D)=\frac{4}{52}=\frac{1}{13}\approx0.077$.

Step5: Compare probabilities

Since $0<\frac{1}{13}<\frac{5}{11}<0.5$, event B has the highest likelihood.